Greatest Common Factor of 204/20, 700/7112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/20, 700/7112

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 204/20,700/7112

Given fractions are 204/20,700/7112

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 204,700

Greatest Common Factor of Numerators i.e. GCF of 204,700 is 4 .

LCM of Denominators means LCM of 20,7112 as per the given fractions.

LCM of 20,7112 is 35560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,700

GCF of Fractions 204/20,700/7112 is 4/35560

2 204, 700
2 102, 350
51, 175

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

Greatest Common Factor of 204,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,700 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 204,700 . The biggest common factor number is the GCF number.
So the greatest common factor 204,700 is 4.

Lets's calculate LCM of 20,7112

2 20, 7112
2 10, 3556
5, 1778

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1778 = 35560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35560

Therefore, the GCF of Fractions 204/20,700/7112 is 4/35560

Least Common Multiple of 20,7112 with GCF Formula

Least Common Multiple of 20,7112 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 20,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7112) = 4

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

GCF(20,7112) x common factors =4 x 1 = 4

LCM(20,7112) = ( 20 × 7112 ) / 4

LCM(20,7112) = 142240 / 4

LCM(20,7112) = 35560


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 204/20, 700/7112

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 204/20, 700/7112?

Answer: GCF of Numerators as per given numbers 204/20, 700/7112 is

GCF of Numerators i.e. for 204,700 is 4

LCM of denominators i.e. for 20,7112 is 35560.

Thus, GCF of Fractions is 4/35560.Finally, GCF of Fractions for 204/20, 700/7112 is 4/35560.