Greatest Common Factor of 8614/915, 4828/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8614/915, 4828/690

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 8614/915,4828/690

Given fractions are 8614/915,4828/690

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 8614,4828

Greatest Common Factor of Numerators i.e. GCF of 8614,4828 is 2 .

LCM of Denominators means LCM of 915,690 as per the given fractions.

LCM of 915,690 is 42090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8614,4828

GCF of Fractions 8614/915,4828/690 is 2/42090

2 8614, 4828
4307, 2414

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

Greatest Common Factor of 8614,4828 By Matching Biggest Common Factor Method

Greatest Common Factor of 8614,4828 By Matching Biggest Common Factor Method

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Factors of 4828

List of positive integer factors of 4828 that divides 4828 without a remainder.

1,2,4,17,34,68,71,142,284,1207,2414,4828

Greatest Common Factor

We found the factors 8614,4828 . The biggest common factor number is the GCF number.
So the greatest common factor 8614,4828 is 2.

Lets's calculate LCM of 915,690

3 915, 690
5 305, 230
61, 46

∴ So the LCM of the given numbers is 3 x 5 x 61 x 46 = 42090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42090

Therefore, the GCF of Fractions 8614/915,4828/690 is 2/42090

Least Common Multiple of 915,690 with GCF Formula

Least Common Multiple of 915,690 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 915,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,690) = 15

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

GCF(915,690) x common factors =15 x 1 = 15

LCM(915,690) = ( 915 × 690 ) / 15

LCM(915,690) = 631350 / 15

LCM(915,690) = 42090


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 8614/915, 4828/690

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 8614/915, 4828/690?

Answer: GCF of Numerators as per given numbers 8614/915, 4828/690 is

GCF of Numerators i.e. for 8614,4828 is 2

LCM of denominators i.e. for 915,690 is 42090.

Thus, GCF of Fractions is 2/42090.Finally, GCF of Fractions for 8614/915, 4828/690 is 2/42090.