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GCF of 731/548, 3814/460

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 731/548, 3814/460 i.e 1/63020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/548, 3814/460.

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 731/548,3814/460?

Given fractions are 731/548,3814/460

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 731/548,3814/460, numerators are 731,3814

Denominators are 548,460

The GCF of 731,3814 is 1 .

LCM of 548,460 is 63020.

The greatest common factor of 731/548,3814/460 = [GCF of 731,3814]/[LCM of 548,460]= 1/63020

Therefore, the GCF of 731/548,3814/460 is 1/63020.

Greatest Common Factor of 731,3814

To find the highest common factor of 731,3814, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3814 are 1, 2, 1907, 3814

The HCF of 731,3814 is 1.

Lets's calculate GCF of 731,3814

Greatest Common Factor (GCF) of 731,3814 By Common Division

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

Greatest Common Factor of 731,3814 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,3814 By Matching Biggest Common Factor Method

Now, list down the factors of 731

:

1,17,43,731

Now, list down the factors of 3814

:

1,2,1907,3814

Greatest Common Factor

We found the factors 731,3814 . The biggest common factor number is the GCF number.
So the greatest common factor 731,3814 is 1.


Lets's calculate LCM of 548,460

Lowest Common Multiple of 548,460 using Common Division

2 548, 460
2 274, 230
137, 115

∴ So the LCM of the given numbers is 2 x 2 x 137 x 115 = 63020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63020

Therefore, the GCF of Fractions 731/548,3814/460 is 1/63020

Least Common Multiple of 548,460 with GCF Formula

Least Common Multiple of 548,460 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 548,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,460) = 4

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

GCF(548,460) x common factors =4 x 1 = 4

LCM(548,460) = ( 548 × 460 ) / 4

LCM(548,460) = 252080 / 4

LCM(548,460) = 63020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 731/548, 3814/460

1. What is the HCF of 731,3814?

The HCF of 731,3814 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 731/548, 3814/460?

Answer: GCF of Numerators as per given numbers 731/548, 3814/460 is

GCF of Numerators i.e. for 731,3814 is 1

LCM of denominators i.e. for 548,460 is 63020.

Thus, GCF of Fractions is 1/63020.Finally, GCF of Fractions for 731/548, 3814/460 is 1/63020.