Greatest Common Factor of 72/680, 2236/3784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/680, 2236/3784

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 72/680,2236/3784

Given fractions are 72/680,2236/3784

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 72,2236

Greatest Common Factor of Numerators i.e. GCF of 72,2236 is 4 .

LCM of Denominators means LCM of 680,3784 as per the given fractions.

LCM of 680,3784 is 321640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,2236

GCF of Fractions 72/680,2236/3784 is 4/321640

2 72, 2236
2 36, 1118
18, 559

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

Greatest Common Factor of 72,2236 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,2236 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 2236

List of positive integer factors of 2236 that divides 2236 without a remainder.

1,2,4,13,26,43,52,86,172,559,1118,2236

Greatest Common Factor

We found the factors 72,2236 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2236 is 4.

Lets's calculate LCM of 680,3784

2 680, 3784
2 340, 1892
2 170, 946
85, 473

∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 473 = 321640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/321640

Therefore, the GCF of Fractions 72/680,2236/3784 is 4/321640

Least Common Multiple of 680,3784 with GCF Formula

Least Common Multiple of 680,3784 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 680,3784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,3784) = 8

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

GCF(680,3784) x common factors =8 x 1 = 8

LCM(680,3784) = ( 680 × 3784 ) / 8

LCM(680,3784) = 2573120 / 8

LCM(680,3784) = 321640


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 72/680, 2236/3784

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 72/680, 2236/3784?

Answer: GCF of Numerators as per given numbers 72/680, 2236/3784 is

GCF of Numerators i.e. for 72,2236 is 4

LCM of denominators i.e. for 680,3784 is 321640.

Thus, GCF of Fractions is 4/321640.Finally, GCF of Fractions for 72/680, 2236/3784 is 4/321640.