Greatest Common Factor of 510/28, 914/8324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/28, 914/8324

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 510/28,914/8324

Given fractions are 510/28,914/8324

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 510,914

Greatest Common Factor of Numerators i.e. GCF of 510,914 is 2 .

LCM of Denominators means LCM of 28,8324 as per the given fractions.

LCM of 28,8324 is 58268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,914

GCF of Fractions 510/28,914/8324 is 2/58268

2 510, 914
255, 457

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

Greatest Common Factor of 510,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,914 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 510,914 . The biggest common factor number is the GCF number.
So the greatest common factor 510,914 is 2.

Lets's calculate LCM of 28,8324

2 28, 8324
2 14, 4162
7, 2081

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2081 = 58268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58268

Therefore, the GCF of Fractions 510/28,914/8324 is 2/58268

Least Common Multiple of 28,8324 with GCF Formula

Least Common Multiple of 28,8324 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 28,8324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,8324) = 4

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

GCF(28,8324) x common factors =4 x 1 = 4

LCM(28,8324) = ( 28 × 8324 ) / 4

LCM(28,8324) = 233072 / 4

LCM(28,8324) = 58268


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 510/28, 914/8324

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 510/28, 914/8324?

Answer: GCF of Numerators as per given numbers 510/28, 914/8324 is

GCF of Numerators i.e. for 510,914 is 2

LCM of denominators i.e. for 28,8324 is 58268.

Thus, GCF of Fractions is 2/58268.Finally, GCF of Fractions for 510/28, 914/8324 is 2/58268.