Greatest Common Factor of 7308/51, 1689/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7308/51, 1689/707

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 7308/51,1689/707

Given fractions are 7308/51,1689/707

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 7308,1689

Greatest Common Factor of Numerators i.e. GCF of 7308,1689 is 3 .

LCM of Denominators means LCM of 51,707 as per the given fractions.

LCM of 51,707 is 36057 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7308,1689

GCF of Fractions 7308/51,1689/707 is 3/36057

3 7308, 1689
2436, 563

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7308,1689 By Matching Biggest Common Factor Method

Greatest Common Factor of 7308,1689 By Matching Biggest Common Factor Method

Factors of 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308

Factors of 1689

List of positive integer factors of 1689 that divides 1689 without a remainder.

1,3,563,1689

Greatest Common Factor

We found the factors 7308,1689 . The biggest common factor number is the GCF number.
So the greatest common factor 7308,1689 is 3.

Lets's calculate LCM of 51,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 36057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36057

Therefore, the GCF of Fractions 7308/51,1689/707 is 3/36057

Least Common Multiple of 51,707 with GCF Formula

Least Common Multiple of 51,707 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 51,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,707) = 1

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

GCF(51,707) x common factors =1 x 1 = 1

LCM(51,707) = ( 51 × 707 ) / 1

LCM(51,707) = 36057 / 1

LCM(51,707) = 36057


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 7308/51, 1689/707

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 7308/51, 1689/707?

Answer: GCF of Numerators as per given numbers 7308/51, 1689/707 is

GCF of Numerators i.e. for 7308,1689 is 3

LCM of denominators i.e. for 51,707 is 36057.

Thus, GCF of Fractions is 3/36057.Finally, GCF of Fractions for 7308/51, 1689/707 is 3/36057.