Greatest Common Factor of 1052/83, 8752/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1052/83, 8752/430

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 1052/83,8752/430

Given fractions are 1052/83,8752/430

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 1052,8752

Greatest Common Factor of Numerators i.e. GCF of 1052,8752 is 4 .

LCM of Denominators means LCM of 83,430 as per the given fractions.

LCM of 83,430 is 35690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1052,8752

GCF of Fractions 1052/83,8752/430 is 4/35690

2 1052, 8752
2 526, 4376
263, 2188

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1052,8752 By Matching Biggest Common Factor Method

Greatest Common Factor of 1052,8752 By Matching Biggest Common Factor Method

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1,2,4,263,526,1052

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

Greatest Common Factor

We found the factors 1052,8752 . The biggest common factor number is the GCF number.
So the greatest common factor 1052,8752 is 4.

Lets's calculate LCM of 83,430

Given numbers has no common factors except 1. So, there LCM is their product i.e 35690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35690

Therefore, the GCF of Fractions 1052/83,8752/430 is 4/35690

Least Common Multiple of 83,430 with GCF Formula

Least Common Multiple of 83,430 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 83,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,430) = 1

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

GCF(83,430) x common factors =1 x 1 = 1

LCM(83,430) = ( 83 × 430 ) / 1

LCM(83,430) = 35690 / 1

LCM(83,430) = 35690


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 1052/83, 8752/430

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 1052/83, 8752/430?

Answer: GCF of Numerators as per given numbers 1052/83, 8752/430 is

GCF of Numerators i.e. for 1052,8752 is 4

LCM of denominators i.e. for 83,430 is 35690.

Thus, GCF of Fractions is 4/35690.Finally, GCF of Fractions for 1052/83, 8752/430 is 4/35690.