Greatest Common Factor of 1752/667, 7887/9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1752/667, 7887/9852

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1752/667,7887/9852

Given fractions are 1752/667,7887/9852

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1752,7887

Greatest Common Factor of Numerators i.e. GCF of 1752,7887 is 3 .

LCM of Denominators means LCM of 667,9852 as per the given fractions.

LCM of 667,9852 is 6571284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1752,7887

GCF of Fractions 1752/667,7887/9852 is 3/6571284

3 1752, 7887
584, 2629

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1752,7887 By Matching Biggest Common Factor Method

Greatest Common Factor of 1752,7887 By Matching Biggest Common Factor Method

Factors of 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Factors of 7887

List of positive integer factors of 7887 that divides 7887 without a remainder.

1,3,11,33,239,717,2629,7887

Greatest Common Factor

We found the factors 1752,7887 . The biggest common factor number is the GCF number.
So the greatest common factor 1752,7887 is 3.

Lets's calculate LCM of 667,9852

Given numbers has no common factors except 1. So, there LCM is their product i.e 6571284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6571284

Therefore, the GCF of Fractions 1752/667,7887/9852 is 3/6571284

Least Common Multiple of 667,9852 with GCF Formula

Least Common Multiple of 667,9852 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 667,9852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,9852) = 1

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

GCF(667,9852) x common factors =1 x 1 = 1

LCM(667,9852) = ( 667 × 9852 ) / 1

LCM(667,9852) = 6571284 / 1

LCM(667,9852) = 6571284


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1752/667, 7887/9852

1. 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.

2. What is the GCF of Fractions for 1752/667, 7887/9852?

Answer: GCF of Numerators as per given numbers 1752/667, 7887/9852 is

GCF of Numerators i.e. for 1752,7887 is 3

LCM of denominators i.e. for 667,9852 is 6571284.

Thus, GCF of Fractions is 3/6571284.Finally, GCF of Fractions for 1752/667, 7887/9852 is 3/6571284.