LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 456/95, 731/13, 547/51

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 456/95, 731/13, 547/51 i.e 1/62985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 456/95, 731/13, 547/51.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 456/95,731/13,547/51?

Given fractions are 456/95,731/13,547/51

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 456/95,731/13,547/51, numerators are 456,731,547

Denominators are 95,13,51

The GCF of 456,731,547 is 1 .

LCM of 95,13,51 is 62985.

The greatest common factor of 456/95,731/13,547/51 = [GCF of 456,731,547]/[LCM of 95,13,51]= 1/62985

Therefore, the GCF of 456/95,731/13,547/51 is 1/62985.

Greatest Common Factor of 456,731,547

To find the highest common factor of 456,731,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

The factors of 731 are 1, 17, 43, 731

The factors of 547 are 1, 547

The HCF of 456,731,547 is 1.

Lets's calculate GCF of 456,731,547

Greatest Common Factor (GCF) of 456,731,547 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 456,731,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,731,547 By Matching Biggest Common Factor Method

Now, list down the factors of 456

:

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Now, list down the factors of 731

:

1,17,43,731

Now, list down the factors of 547

:

1,547

Greatest Common Factor

We found the factors 456,731,547 . The biggest common factor number is the GCF number.
So the greatest common factor 456,731,547 is 1.


Lets's calculate LCM of 95,13,51

Lowest Common Multiple of 95,13,51 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62985

Therefore, the GCF of Fractions 456/95,731/13,547/51 is 1/62985

Least Common Multiple of 95,13,51 with GCF Formula

Least Common Multiple of 95,13,51 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 95,13,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,13,51) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(95,13,51) x common factors =1 x 1 = 1

LCM(95,13,51) = ( 95 × 13 × 51 ) / 1

LCM(95,13,51) = 62985 / 1

LCM(95,13,51) = 62985


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 456/95, 731/13, 547/51

1. What is the HCF of 456,731,547?

The HCF of 456,731,547 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 456/95, 731/13, 547/51?

Answer: GCF of Numerators as per given numbers 456/95, 731/13, 547/51 is

GCF of Numerators i.e. for 456,731,547 is 1

LCM of denominators i.e. for 95,13,51 is 62985.

Thus, GCF of Fractions is 1/62985.Finally, GCF of Fractions for 456/95, 731/13, 547/51 is 1/62985.