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GCF of 254/857, 225/938

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 254/857, 225/938 i.e 1/803866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/857, 225/938.

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 254/857,225/938?

Given fractions are 254/857,225/938

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 254/857,225/938, numerators are 254,225

Denominators are 857,938

The GCF of 254,225 is 1 .

LCM of 857,938 is 803866.

The greatest common factor of 254/857,225/938 = [GCF of 254,225]/[LCM of 857,938]= 1/803866

Therefore, the GCF of 254/857,225/938 is 1/803866.

Greatest Common Factor of 254,225

To find the highest common factor of 254,225, 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 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The HCF of 254,225 is 1.

Lets's calculate GCF of 254,225

Greatest Common Factor (GCF) of 254,225 By Common Division

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

Greatest Common Factor of 254,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,225 By Matching Biggest Common Factor Method

Now, list down the factors of 254

:

1,2,127,254

Now, list down the factors of 225

:

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 254,225 . The biggest common factor number is the GCF number.
So the greatest common factor 254,225 is 1.

Lets's calculate LCM of 857,938

Lowest Common Multiple of 857,938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 803866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/803866

Therefore, the GCF of Fractions 254/857,225/938 is 1/803866

Least Common Multiple of 857,938 with GCF Formula

Least Common Multiple of 857,938 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 857,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,938) = 1

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

GCF(857,938) x common factors =1 x 1 = 1

LCM(857,938) = ( 857 × 938 ) / 1

LCM(857,938) = 803866 / 1

LCM(857,938) = 803866


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FAQs on GCF of Fractions of 254/857, 225/938

1. What is the HCF of 254,225?

The HCF of 254,225 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 254/857, 225/938?

Answer: GCF of Numerators as per given numbers 254/857, 225/938 is

GCF of Numerators i.e. for 254,225 is 1

LCM of denominators i.e. for 857,938 is 803866.

Thus, GCF of Fractions is 1/803866.Finally, GCF of Fractions for 254/857, 225/938 is 1/803866.