Greatest Common Factor of 8752/716, 1850/9060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8752/716, 1850/9060

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 8752/716,1850/9060

Given fractions are 8752/716,1850/9060

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 8752,1850

Greatest Common Factor of Numerators i.e. GCF of 8752,1850 is 2 .

LCM of Denominators means LCM of 716,9060 as per the given fractions.

LCM of 716,9060 is 1621740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8752,1850

GCF of Fractions 8752/716,1850/9060 is 2/1621740

2 8752, 1850
4376, 925

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

Greatest Common Factor of 8752,1850 By Matching Biggest Common Factor Method

Greatest Common Factor of 8752,1850 By Matching Biggest Common Factor Method

Factors of 8752

List of positive integer factors of 8752 that divides 8752 without a remainder.

1,2,4,8,16,547,1094,2188,4376,8752

Factors of 1850

List of positive integer factors of 1850 that divides 1850 without a remainder.

1,2,5,10,25,37,50,74,185,370,925,1850

Greatest Common Factor

We found the factors 8752,1850 . The biggest common factor number is the GCF number.
So the greatest common factor 8752,1850 is 2.

Lets's calculate LCM of 716,9060

2 716, 9060
2 358, 4530
179, 2265

∴ So the LCM of the given numbers is 2 x 2 x 179 x 2265 = 1621740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1621740

Therefore, the GCF of Fractions 8752/716,1850/9060 is 2/1621740

Least Common Multiple of 716,9060 with GCF Formula

Least Common Multiple of 716,9060 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 716,9060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,9060) = 4

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

GCF(716,9060) x common factors =4 x 1 = 4

LCM(716,9060) = ( 716 × 9060 ) / 4

LCM(716,9060) = 6486960 / 4

LCM(716,9060) = 1621740


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 8752/716, 1850/9060

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 8752/716, 1850/9060?

Answer: GCF of Numerators as per given numbers 8752/716, 1850/9060 is

GCF of Numerators i.e. for 8752,1850 is 2

LCM of denominators i.e. for 716,9060 is 1621740.

Thus, GCF of Fractions is 2/1621740.Finally, GCF of Fractions for 8752/716, 1850/9060 is 2/1621740.