Greatest Common Factor of 7710/29, 1608/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7710/29, 1608/176

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 7710/29,1608/176

Given fractions are 7710/29,1608/176

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 7710,1608

Greatest Common Factor of Numerators i.e. GCF of 7710,1608 is 6 .

LCM of Denominators means LCM of 29,176 as per the given fractions.

LCM of 29,176 is 5104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7710,1608

GCF of Fractions 7710/29,1608/176 is 6/5104

2 7710, 1608
3 3855, 804
1285, 268

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7710,1608 By Matching Biggest Common Factor Method

Greatest Common Factor of 7710,1608 By Matching Biggest Common Factor Method

Factors of 7710

List of positive integer factors of 7710 that divides 7710 without a remainder.

1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

Greatest Common Factor

We found the factors 7710,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 7710,1608 is 6.

Lets's calculate LCM of 29,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 5104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5104

Therefore, the GCF of Fractions 7710/29,1608/176 is 6/5104

Least Common Multiple of 29,176 with GCF Formula

Least Common Multiple of 29,176 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 29,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,176) = 1

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

GCF(29,176) x common factors =1 x 1 = 1

LCM(29,176) = ( 29 × 176 ) / 1

LCM(29,176) = 5104 / 1

LCM(29,176) = 5104


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 7710/29, 1608/176

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 7710/29, 1608/176?

Answer: GCF of Numerators as per given numbers 7710/29, 1608/176 is

GCF of Numerators i.e. for 7710,1608 is 6

LCM of denominators i.e. for 29,176 is 5104.

Thus, GCF of Fractions is 6/5104.Finally, GCF of Fractions for 7710/29, 1608/176 is 6/5104.