Greatest Common Factor of 1140/110, 4274/4415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1140/110, 4274/4415

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 1140/110,4274/4415

Given fractions are 1140/110,4274/4415

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 1140,4274

Greatest Common Factor of Numerators i.e. GCF of 1140,4274 is 2 .

LCM of Denominators means LCM of 110,4415 as per the given fractions.

LCM of 110,4415 is 97130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1140,4274

GCF of Fractions 1140/110,4274/4415 is 2/97130

2 1140, 4274
570, 2137

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

Greatest Common Factor of 1140,4274 By Matching Biggest Common Factor Method

Greatest Common Factor of 1140,4274 By Matching Biggest Common Factor Method

Factors of 1140

List of positive integer factors of 1140 that divides 1140 without a remainder.

1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140

Factors of 4274

List of positive integer factors of 4274 that divides 4274 without a remainder.

1,2,2137,4274

Greatest Common Factor

We found the factors 1140,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 1140,4274 is 2.

Lets's calculate LCM of 110,4415

5 110, 4415
22, 883

∴ So the LCM of the given numbers is 5 x 22 x 883 = 97130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97130

Therefore, the GCF of Fractions 1140/110,4274/4415 is 2/97130

Least Common Multiple of 110,4415 with GCF Formula

Least Common Multiple of 110,4415 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 110,4415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,4415) = 5

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

GCF(110,4415) x common factors =5 x 1 = 5

LCM(110,4415) = ( 110 × 4415 ) / 5

LCM(110,4415) = 485650 / 5

LCM(110,4415) = 97130


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 1140/110, 4274/4415

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 1140/110, 4274/4415?

Answer: GCF of Numerators as per given numbers 1140/110, 4274/4415 is

GCF of Numerators i.e. for 1140,4274 is 2

LCM of denominators i.e. for 110,4415 is 97130.

Thus, GCF of Fractions is 2/97130.Finally, GCF of Fractions for 1140/110, 4274/4415 is 2/97130.