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GCF of 254/637, 127/444

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 254/637, 127/444 i.e 127/282828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/637, 127/444.

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 254/637,127/444?

Given fractions are 254/637,127/444

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 254/637,127/444, numerators are 254,127

Denominators are 637,444

The GCF of 254,127 is 127 .

LCM of 637,444 is 282828.

The greatest common factor of 254/637,127/444 = [GCF of 254,127]/[LCM of 637,444]= 127/282828

Therefore, the GCF of 254/637,127/444 is 127/282828.

Greatest Common Factor of 254,127

To find the highest common factor of 254,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 254 are 1, 2, 127, 254

The factors of 127 are 1, 127

The HCF of 254,127 is 127.

Lets's calculate GCF of 254,127

Greatest Common Factor (GCF) of 254,127 By Common Division

127 254, 127
2, 1

∴ So the GCF of the given numbers is 127 = 127

Greatest Common Factor of 254,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,127 By Matching Biggest Common Factor Method

Now, list down the factors of 254

:

1,2,127,254

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 254,127 . The biggest common factor number is the GCF number.
So the greatest common factor 254,127 is 127.

Lets's calculate LCM of 637,444

Lowest Common Multiple of 637,444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 282828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/282828

Therefore, the GCF of Fractions 254/637,127/444 is 127/282828

Least Common Multiple of 637,444 with GCF Formula

Least Common Multiple of 637,444 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 637,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,444) = 1

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

GCF(637,444) x common factors =1 x 1 = 1

LCM(637,444) = ( 637 × 444 ) / 1

LCM(637,444) = 282828 / 1

LCM(637,444) = 282828


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FAQs on GCF of Fractions of 254/637, 127/444

1. What is the HCF of 254,127?

The HCF of 254,127 is 127

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 254/637, 127/444?

Answer: GCF of Numerators as per given numbers 254/637, 127/444 is

GCF of Numerators i.e. for 254,127 is 127

LCM of denominators i.e. for 637,444 is 282828.

Thus, GCF of Fractions is 127/282828.Finally, GCF of Fractions for 254/637, 127/444 is 127/282828.