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GCF of 254/64, 364/355

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 254/64, 364/355 i.e 2/22720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/64, 364/355.

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 254/64,364/355?

Given fractions are 254/64,364/355

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 254/64,364/355, numerators are 254,364

Denominators are 64,355

The GCF of 254,364 is 2 .

LCM of 64,355 is 22720.

The greatest common factor of 254/64,364/355 = [GCF of 254,364]/[LCM of 64,355]= 2/22720

Therefore, the GCF of 254/64,364/355 is 2/22720.

Greatest Common Factor of 254,364

To find the highest common factor of 254,364, 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 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 254,364 is 2.

Lets's calculate GCF of 254,364

Greatest Common Factor (GCF) of 254,364 By Common Division

2 254, 364
127, 182

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 254,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,364 By Matching Biggest Common Factor Method

Now, list down the factors of 254

:

1,2,127,254

Now, list down the factors of 364

:

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 254,364 . The biggest common factor number is the GCF number.
So the greatest common factor 254,364 is 2.

Lets's calculate LCM of 64,355

Lowest Common Multiple of 64,355 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22720

Therefore, the GCF of Fractions 254/64,364/355 is 2/22720

Least Common Multiple of 64,355 with GCF Formula

Least Common Multiple of 64,355 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 64,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,355) = 1

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

GCF(64,355) x common factors =1 x 1 = 1

LCM(64,355) = ( 64 × 355 ) / 1

LCM(64,355) = 22720 / 1

LCM(64,355) = 22720


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FAQs on GCF of Fractions of 254/64, 364/355

1. What is the HCF of 254,364?

The HCF of 254,364 is 2

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 254/64, 364/355?

Answer: GCF of Numerators as per given numbers 254/64, 364/355 is

GCF of Numerators i.e. for 254,364 is 2

LCM of denominators i.e. for 64,355 is 22720.

Thus, GCF of Fractions is 2/22720.Finally, GCF of Fractions for 254/64, 364/355 is 2/22720.