Greatest Common Factor of 253/15, 1564/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/15, 1564/947

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 253/15,1564/947

Given fractions are 253/15,1564/947

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 253,1564

Greatest Common Factor of Numerators i.e. GCF of 253,1564 is 23 .

LCM of Denominators means LCM of 15,947 as per the given fractions.

LCM of 15,947 is 14205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,1564

GCF of Fractions 253/15,1564/947 is 23/14205

23 253, 1564
11, 68

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 253,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,1564 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

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 253,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 253,1564 is 23.

Lets's calculate LCM of 15,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 14205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/14205

Therefore, the GCF of Fractions 253/15,1564/947 is 23/14205

Least Common Multiple of 15,947 with GCF Formula

Least Common Multiple of 15,947 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 15,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,947) = 1

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

GCF(15,947) x common factors =1 x 1 = 1

LCM(15,947) = ( 15 × 947 ) / 1

LCM(15,947) = 14205 / 1

LCM(15,947) = 14205


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 253/15, 1564/947

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 253/15, 1564/947?

Answer: GCF of Numerators as per given numbers 253/15, 1564/947 is

GCF of Numerators i.e. for 253,1564 is 23

LCM of denominators i.e. for 15,947 is 14205.

Thus, GCF of Fractions is 23/14205.Finally, GCF of Fractions for 253/15, 1564/947 is 23/14205.