Greatest Common Factor of 510/416, 7688/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/416, 7688/167

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 510/416,7688/167

Given fractions are 510/416,7688/167

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 510,7688

Greatest Common Factor of Numerators i.e. GCF of 510,7688 is 2 .

LCM of Denominators means LCM of 416,167 as per the given fractions.

LCM of 416,167 is 69472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,7688

GCF of Fractions 510/416,7688/167 is 2/69472

2 510, 7688
255, 3844

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

Greatest Common Factor of 510,7688 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,7688 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 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Greatest Common Factor

We found the factors 510,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 510,7688 is 2.

Lets's calculate LCM of 416,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 69472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69472

Therefore, the GCF of Fractions 510/416,7688/167 is 2/69472

Least Common Multiple of 416,167 with GCF Formula

Least Common Multiple of 416,167 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 416,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,167) = 1

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

GCF(416,167) x common factors =1 x 1 = 1

LCM(416,167) = ( 416 × 167 ) / 1

LCM(416,167) = 69472 / 1

LCM(416,167) = 69472


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 510/416, 7688/167

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 510/416, 7688/167?

Answer: GCF of Numerators as per given numbers 510/416, 7688/167 is

GCF of Numerators i.e. for 510,7688 is 2

LCM of denominators i.e. for 416,167 is 69472.

Thus, GCF of Fractions is 2/69472.Finally, GCF of Fractions for 510/416, 7688/167 is 2/69472.