Greatest Common Factor of 7066/50, 1564/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7066/50, 1564/867

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 7066/50,1564/867

Given fractions are 7066/50,1564/867

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 7066,1564

Greatest Common Factor of Numerators i.e. GCF of 7066,1564 is 2 .

LCM of Denominators means LCM of 50,867 as per the given fractions.

LCM of 50,867 is 43350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7066,1564

GCF of Fractions 7066/50,1564/867 is 2/43350

2 7066, 1564
3533, 782

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

Greatest Common Factor of 7066,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 7066,1564 By Matching Biggest Common Factor Method

Factors of 7066

List of positive integer factors of 7066 that divides 7066 without a remainder.

1,2,3533,7066

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 7066,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 7066,1564 is 2.

Lets's calculate LCM of 50,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 43350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43350

Therefore, the GCF of Fractions 7066/50,1564/867 is 2/43350

Least Common Multiple of 50,867 with GCF Formula

Least Common Multiple of 50,867 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 50,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,867) = 1

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

GCF(50,867) x common factors =1 x 1 = 1

LCM(50,867) = ( 50 × 867 ) / 1

LCM(50,867) = 43350 / 1

LCM(50,867) = 43350


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 7066/50, 1564/867

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 7066/50, 1564/867?

Answer: GCF of Numerators as per given numbers 7066/50, 1564/867 is

GCF of Numerators i.e. for 7066,1564 is 2

LCM of denominators i.e. for 50,867 is 43350.

Thus, GCF of Fractions is 2/43350.Finally, GCF of Fractions for 7066/50, 1564/867 is 2/43350.