Greatest Common Factor of 5140/690, 9128/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5140/690, 9128/412

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 5140/690,9128/412

Given fractions are 5140/690,9128/412

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 5140,9128

Greatest Common Factor of Numerators i.e. GCF of 5140,9128 is 4 .

LCM of Denominators means LCM of 690,412 as per the given fractions.

LCM of 690,412 is 142140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5140,9128

GCF of Fractions 5140/690,9128/412 is 4/142140

2 5140, 9128
2 2570, 4564
1285, 2282

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5140,9128 By Matching Biggest Common Factor Method

Greatest Common Factor of 5140,9128 By Matching Biggest Common Factor Method

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

Greatest Common Factor

We found the factors 5140,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 5140,9128 is 4.

Lets's calculate LCM of 690,412

2 690, 412
345, 206

∴ So the LCM of the given numbers is 2 x 345 x 206 = 142140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/142140

Therefore, the GCF of Fractions 5140/690,9128/412 is 4/142140

Least Common Multiple of 690,412 with GCF Formula

Least Common Multiple of 690,412 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 690,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,412) = 2

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

GCF(690,412) x common factors =2 x 1 = 2

LCM(690,412) = ( 690 × 412 ) / 2

LCM(690,412) = 284280 / 2

LCM(690,412) = 142140


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 5140/690, 9128/412

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 5140/690, 9128/412?

Answer: GCF of Numerators as per given numbers 5140/690, 9128/412 is

GCF of Numerators i.e. for 5140,9128 is 4

LCM of denominators i.e. for 690,412 is 142140.

Thus, GCF of Fractions is 4/142140.Finally, GCF of Fractions for 5140/690, 9128/412 is 4/142140.