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GCF of 4766/869, 6837/1252

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 4766/869, 6837/1252 i.e 1/1087988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4766/869, 6837/1252.

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 4766/869,6837/1252?

Given fractions are 4766/869,6837/1252

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 4766/869,6837/1252, numerators are 4766,6837

Denominators are 869,1252

The GCF of 4766,6837 is 1 .

LCM of 869,1252 is 1087988.

The greatest common factor of 4766/869,6837/1252 = [GCF of 4766,6837]/[LCM of 869,1252]= 1/1087988

Therefore, the GCF of 4766/869,6837/1252 is 1/1087988.

Greatest Common Factor of 4766,6837

To find the highest common factor of 4766,6837, we have to find the factors of both numbers and list the highest common factor.

The factors of 4766 are 1, 2, 2383, 4766

The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837

The HCF of 4766,6837 is 1.

Lets's calculate GCF of 4766,6837

Greatest Common Factor (GCF) of 4766,6837 By Common Division

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

Greatest Common Factor of 4766,6837 By Matching Biggest Common Factor Method

Greatest Common Factor of 4766,6837 By Matching Biggest Common Factor Method

Now, list down the factors of 4766

:

1,2,2383,4766

Now, list down the factors of 6837

:

1,3,43,53,129,159,2279,6837

Greatest Common Factor

We found the factors 4766,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 4766,6837 is 1.


Lets's calculate LCM of 869,1252

Lowest Common Multiple of 869,1252 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1087988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1087988

Therefore, the GCF of Fractions 4766/869,6837/1252 is 1/1087988

Least Common Multiple of 869,1252 with GCF Formula

Least Common Multiple of 869,1252 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 869,1252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,1252) = 1

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

GCF(869,1252) x common factors =1 x 1 = 1

LCM(869,1252) = ( 869 × 1252 ) / 1

LCM(869,1252) = 1087988 / 1

LCM(869,1252) = 1087988


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4766/869, 6837/1252

1. What is the HCF of 4766,6837?

The HCF of 4766,6837 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 4766/869, 6837/1252?

Answer: GCF of Numerators as per given numbers 4766/869, 6837/1252 is

GCF of Numerators i.e. for 4766,6837 is 1

LCM of denominators i.e. for 869,1252 is 1087988.

Thus, GCF of Fractions is 1/1087988.Finally, GCF of Fractions for 4766/869, 6837/1252 is 1/1087988.