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 455/75, 145/127

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 455/75, 145/127 i.e 5/9525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/75, 145/127.

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 455/75,145/127?

Given fractions are 455/75,145/127

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 455/75,145/127, numerators are 455,145

Denominators are 75,127

The GCF of 455,145 is 5 .

LCM of 75,127 is 9525.

The greatest common factor of 455/75,145/127 = [GCF of 455,145]/[LCM of 75,127]= 5/9525

Therefore, the GCF of 455/75,145/127 is 5/9525.

Greatest Common Factor of 455,145

To find the highest common factor of 455,145, we have to find the factors of both numbers and list the highest common factor.

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The factors of 145 are 1, 5, 29, 145

The HCF of 455,145 is 5.

Lets's calculate GCF of 455,145

Greatest Common Factor (GCF) of 455,145 By Common Division

5 455, 145
91, 29

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 455,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,145 By Matching Biggest Common Factor Method

Now, list down the factors of 455

:

1,5,7,13,35,65,91,455

Now, list down the factors of 145

:

1,5,29,145

Greatest Common Factor

We found the factors 455,145 . The biggest common factor number is the GCF number.
So the greatest common factor 455,145 is 5.

Lets's calculate LCM of 75,127

Lowest Common Multiple of 75,127 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9525

Therefore, the GCF of Fractions 455/75,145/127 is 5/9525

Least Common Multiple of 75,127 with GCF Formula

Least Common Multiple of 75,127 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 75,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,127) = 1

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

GCF(75,127) x common factors =1 x 1 = 1

LCM(75,127) = ( 75 × 127 ) / 1

LCM(75,127) = 9525 / 1

LCM(75,127) = 9525


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 455/75, 145/127

1. What is the HCF of 455,145?

The HCF of 455,145 is 5

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 455/75, 145/127?

Answer: GCF of Numerators as per given numbers 455/75, 145/127 is

GCF of Numerators i.e. for 455,145 is 5

LCM of denominators i.e. for 75,127 is 9525.

Thus, GCF of Fractions is 5/9525.Finally, GCF of Fractions for 455/75, 145/127 is 5/9525.