Greatest Common Factor of 652/300, 220/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 652/300, 220/112

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 652/300,220/112

Given fractions are 652/300,220/112

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 652,220

Greatest Common Factor of Numerators i.e. GCF of 652,220 is 4 .

LCM of Denominators means LCM of 300,112 as per the given fractions.

LCM of 300,112 is 8400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 652,220

GCF of Fractions 652/300,220/112 is 4/8400

2 652, 220
2 326, 110
163, 55

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

Greatest Common Factor of 652,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,220 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 652,220 . The biggest common factor number is the GCF number.
So the greatest common factor 652,220 is 4.

Lets's calculate LCM of 300,112

2 300, 112
2 150, 56
75, 28

∴ So the LCM of the given numbers is 2 x 2 x 75 x 28 = 8400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8400

Therefore, the GCF of Fractions 652/300,220/112 is 4/8400

Least Common Multiple of 300,112 with GCF Formula

Least Common Multiple of 300,112 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 300,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,112) = 4

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

GCF(300,112) x common factors =4 x 1 = 4

LCM(300,112) = ( 300 × 112 ) / 4

LCM(300,112) = 33600 / 4

LCM(300,112) = 8400


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 652/300, 220/112

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 652/300, 220/112?

Answer: GCF of Numerators as per given numbers 652/300, 220/112 is

GCF of Numerators i.e. for 652,220 is 4

LCM of denominators i.e. for 300,112 is 8400.

Thus, GCF of Fractions is 4/8400.Finally, GCF of Fractions for 652/300, 220/112 is 4/8400.