Greatest Common Factor of 8480/68, 7662/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8480/68, 7662/781

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 8480/68,7662/781

Given fractions are 8480/68,7662/781

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 8480,7662

Greatest Common Factor of Numerators i.e. GCF of 8480,7662 is 2 .

LCM of Denominators means LCM of 68,781 as per the given fractions.

LCM of 68,781 is 53108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8480,7662

GCF of Fractions 8480/68,7662/781 is 2/53108

2 8480, 7662
4240, 3831

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

Greatest Common Factor of 8480,7662 By Matching Biggest Common Factor Method

Greatest Common Factor of 8480,7662 By Matching Biggest Common Factor Method

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480

Factors of 7662

List of positive integer factors of 7662 that divides 7662 without a remainder.

1,2,3,6,1277,2554,3831,7662

Greatest Common Factor

We found the factors 8480,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 8480,7662 is 2.

Lets's calculate LCM of 68,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 53108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53108

Therefore, the GCF of Fractions 8480/68,7662/781 is 2/53108

Least Common Multiple of 68,781 with GCF Formula

Least Common Multiple of 68,781 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 68,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,781) = 1

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

GCF(68,781) x common factors =1 x 1 = 1

LCM(68,781) = ( 68 × 781 ) / 1

LCM(68,781) = 53108 / 1

LCM(68,781) = 53108


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 8480/68, 7662/781

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 8480/68, 7662/781?

Answer: GCF of Numerators as per given numbers 8480/68, 7662/781 is

GCF of Numerators i.e. for 8480,7662 is 2

LCM of denominators i.e. for 68,781 is 53108.

Thus, GCF of Fractions is 2/53108.Finally, GCF of Fractions for 8480/68, 7662/781 is 2/53108.