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GCF of 257/87, 620/9474

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 257/87, 620/9474 i.e 1/274746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/87, 620/9474.

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 257/87,620/9474?

Given fractions are 257/87,620/9474

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 257/87,620/9474, numerators are 257,620

Denominators are 87,9474

The GCF of 257,620 is 1 .

LCM of 87,9474 is 274746.

The greatest common factor of 257/87,620/9474 = [GCF of 257,620]/[LCM of 87,9474]= 1/274746

Therefore, the GCF of 257/87,620/9474 is 1/274746.

Greatest Common Factor of 257,620

To find the highest common factor of 257,620, 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 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The HCF of 257,620 is 1.

Lets's calculate GCF of 257,620

Greatest Common Factor (GCF) of 257,620 By Common Division

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

Greatest Common Factor of 257,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,620 By Matching Biggest Common Factor Method

Now, list down the factors of 257

:

1,257

Now, list down the factors of 620

:

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 257,620 . The biggest common factor number is the GCF number.
So the greatest common factor 257,620 is 1.

Lets's calculate LCM of 87,9474

Lowest Common Multiple of 87,9474 using Common Division

3 87, 9474
29, 3158

∴ So the LCM of the given numbers is 3 x 29 x 3158 = 274746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274746

Therefore, the GCF of Fractions 257/87,620/9474 is 1/274746

Least Common Multiple of 87,9474 with GCF Formula

Least Common Multiple of 87,9474 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 87,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,9474) = 3

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

GCF(87,9474) x common factors =3 x 1 = 3

LCM(87,9474) = ( 87 × 9474 ) / 3

LCM(87,9474) = 824238 / 3

LCM(87,9474) = 274746


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FAQs on GCF of Fractions of 257/87, 620/9474

1. What is the HCF of 257,620?

The HCF of 257,620 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 257/87, 620/9474?

Answer: GCF of Numerators as per given numbers 257/87, 620/9474 is

GCF of Numerators i.e. for 257,620 is 1

LCM of denominators i.e. for 87,9474 is 274746.

Thus, GCF of Fractions is 1/274746.Finally, GCF of Fractions for 257/87, 620/9474 is 1/274746.