Greatest Common Factor of 1127/87, 1960/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1127/87, 1960/353

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 1127/87,1960/353

Given fractions are 1127/87,1960/353

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 1127,1960

Greatest Common Factor of Numerators i.e. GCF of 1127,1960 is 49 .

LCM of Denominators means LCM of 87,353 as per the given fractions.

LCM of 87,353 is 30711 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1127,1960

GCF of Fractions 1127/87,1960/353 is 49/30711

7 1127, 1960
7 161, 280
23, 40

∴ So the GCF of the given numbers is 7 x 7 = 49

Greatest Common Factor of 1127,1960 By Matching Biggest Common Factor Method

Greatest Common Factor of 1127,1960 By Matching Biggest Common Factor Method

Factors of 1127

List of positive integer factors of 1127 that divides 1127 without a remainder.

1,7,23,49,161,1127

Factors of 1960

List of positive integer factors of 1960 that divides 1960 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960

Greatest Common Factor

We found the factors 1127,1960 . The biggest common factor number is the GCF number.
So the greatest common factor 1127,1960 is 49.

Lets's calculate LCM of 87,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 30711

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/30711

Therefore, the GCF of Fractions 1127/87,1960/353 is 49/30711

Least Common Multiple of 87,353 with GCF Formula

Least Common Multiple of 87,353 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 87,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,353) = 1

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

GCF(87,353) x common factors =1 x 1 = 1

LCM(87,353) = ( 87 × 353 ) / 1

LCM(87,353) = 30711 / 1

LCM(87,353) = 30711


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 1127/87, 1960/353

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 1127/87, 1960/353?

Answer: GCF of Numerators as per given numbers 1127/87, 1960/353 is

GCF of Numerators i.e. for 1127,1960 is 49

LCM of denominators i.e. for 87,353 is 30711.

Thus, GCF of Fractions is 49/30711.Finally, GCF of Fractions for 1127/87, 1960/353 is 49/30711.