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GCF of 257/45, 638/5357

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 257/45, 638/5357 i.e 1/241065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/45, 638/5357.

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 257/45,638/5357?

Given fractions are 257/45,638/5357

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 257/45,638/5357, numerators are 257,638

Denominators are 45,5357

The GCF of 257,638 is 1 .

LCM of 45,5357 is 241065.

The greatest common factor of 257/45,638/5357 = [GCF of 257,638]/[LCM of 45,5357]= 1/241065

Therefore, the GCF of 257/45,638/5357 is 1/241065.

Greatest Common Factor of 257,638

To find the highest common factor of 257,638, we have to find the factors of both numbers and list the highest common factor.

The factors of 257 are 1, 257

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The HCF of 257,638 is 1.

Lets's calculate GCF of 257,638

Greatest Common Factor (GCF) of 257,638 By Common Division

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

Greatest Common Factor of 257,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,638 By Matching Biggest Common Factor Method

Now, list down the factors of 257

:

1,257

Now, list down the factors of 638

:

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 257,638 . The biggest common factor number is the GCF number.
So the greatest common factor 257,638 is 1.

Lets's calculate LCM of 45,5357

Lowest Common Multiple of 45,5357 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 241065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241065

Therefore, the GCF of Fractions 257/45,638/5357 is 1/241065

Least Common Multiple of 45,5357 with GCF Formula

Least Common Multiple of 45,5357 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 45,5357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,5357) = 1

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

GCF(45,5357) x common factors =1 x 1 = 1

LCM(45,5357) = ( 45 × 5357 ) / 1

LCM(45,5357) = 241065 / 1

LCM(45,5357) = 241065


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FAQs on GCF of Fractions of 257/45, 638/5357

1. What is the HCF of 257,638?

The HCF of 257,638 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 257/45, 638/5357?

Answer: GCF of Numerators as per given numbers 257/45, 638/5357 is

GCF of Numerators i.e. for 257,638 is 1

LCM of denominators i.e. for 45,5357 is 241065.

Thus, GCF of Fractions is 1/241065.Finally, GCF of Fractions for 257/45, 638/5357 is 1/241065.