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GCF of 237/51, 406/625

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 237/51, 406/625 i.e 1/31875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/51, 406/625.

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 237/51,406/625?

Given fractions are 237/51,406/625

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 237/51,406/625, numerators are 237,406

Denominators are 51,625

The GCF of 237,406 is 1 .

LCM of 51,625 is 31875.

The greatest common factor of 237/51,406/625 = [GCF of 237,406]/[LCM of 51,625]= 1/31875

Therefore, the GCF of 237/51,406/625 is 1/31875.

Greatest Common Factor of 237,406

To find the highest common factor of 237,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 237 are 1, 3, 79, 237

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 237,406 is 1.

Lets's calculate GCF of 237,406

Greatest Common Factor (GCF) of 237,406 By Common Division

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

Greatest Common Factor of 237,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,406 By Matching Biggest Common Factor Method

Now, list down the factors of 237

:

1,3,79,237

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 237,406 . The biggest common factor number is the GCF number.
So the greatest common factor 237,406 is 1.

Lets's calculate LCM of 51,625

Lowest Common Multiple of 51,625 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31875

Therefore, the GCF of Fractions 237/51,406/625 is 1/31875

Least Common Multiple of 51,625 with GCF Formula

Least Common Multiple of 51,625 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 51,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,625) = 1

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

GCF(51,625) x common factors =1 x 1 = 1

LCM(51,625) = ( 51 × 625 ) / 1

LCM(51,625) = 31875 / 1

LCM(51,625) = 31875


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FAQs on GCF of Fractions of 237/51, 406/625

1. What is the HCF of 237,406?

The HCF of 237,406 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 237/51, 406/625?

Answer: GCF of Numerators as per given numbers 237/51, 406/625 is

GCF of Numerators i.e. for 237,406 is 1

LCM of denominators i.e. for 51,625 is 31875.

Thus, GCF of Fractions is 1/31875.Finally, GCF of Fractions for 237/51, 406/625 is 1/31875.