Greatest Common Factor of 1117/947, 3164/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1117/947, 3164/152

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 1117/947,3164/152

Given fractions are 1117/947,3164/152

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 1117,3164

Greatest Common Factor of Numerators i.e. GCF of 1117,3164 is 1 .

LCM of Denominators means LCM of 947,152 as per the given fractions.

LCM of 947,152 is 143944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1117,3164

GCF of Fractions 1117/947,3164/152 is 1/143944

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1117,3164 By Matching Biggest Common Factor Method

Greatest Common Factor of 1117,3164 By Matching Biggest Common Factor Method

Factors of 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Greatest Common Factor

We found the factors 1117,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 1117,3164 is 1.

Lets's calculate LCM of 947,152

Given numbers has no common factors except 1. So, there LCM is their product i.e 143944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143944

Therefore, the GCF of Fractions 1117/947,3164/152 is 1/143944

Least Common Multiple of 947,152 with GCF Formula

Least Common Multiple of 947,152 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 947,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,152) = 1

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

GCF(947,152) x common factors =1 x 1 = 1

LCM(947,152) = ( 947 × 152 ) / 1

LCM(947,152) = 143944 / 1

LCM(947,152) = 143944


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 1117/947, 3164/152

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 1117/947, 3164/152?

Answer: GCF of Numerators as per given numbers 1117/947, 3164/152 is

GCF of Numerators i.e. for 1117,3164 is 1

LCM of denominators i.e. for 947,152 is 143944.

Thus, GCF of Fractions is 1/143944.Finally, GCF of Fractions for 1117/947, 3164/152 is 1/143944.