Greatest Common Factor of 560/78, 165/5690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 560/78, 165/5690

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 560/78,165/5690

Given fractions are 560/78,165/5690

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 560,165

Greatest Common Factor of Numerators i.e. GCF of 560,165 is 5 .

LCM of Denominators means LCM of 78,5690 as per the given fractions.

LCM of 78,5690 is 221910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 560,165

GCF of Fractions 560/78,165/5690 is 5/221910

5 560, 165
112, 33

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 560,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,165 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 560,165 . The biggest common factor number is the GCF number.
So the greatest common factor 560,165 is 5.

Lets's calculate LCM of 78,5690

2 78, 5690
39, 2845

∴ So the LCM of the given numbers is 2 x 39 x 2845 = 221910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/221910

Therefore, the GCF of Fractions 560/78,165/5690 is 5/221910

Least Common Multiple of 78,5690 with GCF Formula

Least Common Multiple of 78,5690 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 78,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,5690) = 2

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

GCF(78,5690) x common factors =2 x 1 = 2

LCM(78,5690) = ( 78 × 5690 ) / 2

LCM(78,5690) = 443820 / 2

LCM(78,5690) = 221910


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 560/78, 165/5690

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 560/78, 165/5690?

Answer: GCF of Numerators as per given numbers 560/78, 165/5690 is

GCF of Numerators i.e. for 560,165 is 5

LCM of denominators i.e. for 78,5690 is 221910.

Thus, GCF of Fractions is 5/221910.Finally, GCF of Fractions for 560/78, 165/5690 is 5/221910.