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GCF of 262/57, 214/851

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 262/57, 214/851 i.e 2/48507 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/57, 214/851.

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 262/57,214/851?

Given fractions are 262/57,214/851

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 262/57,214/851, numerators are 262,214

Denominators are 57,851

The GCF of 262,214 is 2 .

LCM of 57,851 is 48507.

The greatest common factor of 262/57,214/851 = [GCF of 262,214]/[LCM of 57,851]= 2/48507

Therefore, the GCF of 262/57,214/851 is 2/48507.

Greatest Common Factor of 262,214

To find the highest common factor of 262,214, we have to find the factors of both numbers and list the highest common factor.

The factors of 262 are 1, 2, 131, 262

The factors of 214 are 1, 2, 107, 214

The HCF of 262,214 is 2.

Lets's calculate GCF of 262,214

Greatest Common Factor (GCF) of 262,214 By Common Division

2 262, 214
131, 107

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

Greatest Common Factor of 262,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,214 By Matching Biggest Common Factor Method

Now, list down the factors of 262

:

1,2,131,262

Now, list down the factors of 214

:

1,2,107,214

Greatest Common Factor

We found the factors 262,214 . The biggest common factor number is the GCF number.
So the greatest common factor 262,214 is 2.

Lets's calculate LCM of 57,851

Lowest Common Multiple of 57,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48507

Therefore, the GCF of Fractions 262/57,214/851 is 2/48507

Least Common Multiple of 57,851 with GCF Formula

Least Common Multiple of 57,851 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 57,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,851) = 1

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

GCF(57,851) x common factors =1 x 1 = 1

LCM(57,851) = ( 57 × 851 ) / 1

LCM(57,851) = 48507 / 1

LCM(57,851) = 48507


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FAQs on GCF of Fractions of 262/57, 214/851

1. What is the HCF of 262,214?

The HCF of 262,214 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 262/57, 214/851?

Answer: GCF of Numerators as per given numbers 262/57, 214/851 is

GCF of Numerators i.e. for 262,214 is 2

LCM of denominators i.e. for 57,851 is 48507.

Thus, GCF of Fractions is 2/48507.Finally, GCF of Fractions for 262/57, 214/851 is 2/48507.