How to Find GCF of 7746/788, 2130/2371?

GCF of 7746/788, 2130/2371

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7746/788, 2130/2371 i.e 6/1868348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7746/788, 2130/2371.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7746/788,2130/2371?

Given fractions are 7746/788,2130/2371

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7746/788,2130/2371, numerators are 7746,2130

Denominators are 788,2371

The GCF of 7746,2130 is 6 .

LCM of 788,2371 is 1868348.

The greatest common factor of 7746/788,2130/2371 = [GCF of 7746,2130]/[LCM of 788,2371]= 6/1868348

Therefore, the GCF of 7746/788,2130/2371 is 6/1868348.

Greatest Common Factor of 7746,2130

To find the highest common factor of 7746,2130, we have to find the factors of both numbers and list the highest common factor.

The factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746

The factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130

The HCF of 7746,2130 is 6.

Lets's calculate GCF of 7746,2130

Greatest Common Factor (GCF) of 7746,2130 By Common Division

2	7746, 2130
3	3873, 1065
	1291, 355

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

Greatest Common Factor of 7746,2130 By Matching Biggest Common Factor Method

Now, list down the factors of 7746

1,2,3,6,1291,2582,3873,7746

Now, list down the factors of 2130

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Greatest Common Factor

We found the factors 7746,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 7746,2130 is 6.

Lets's calculate LCM of 788,2371

Lowest Common Multiple of 788,2371 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1868348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1868348

Therefore, the GCF of Fractions 7746/788,2130/2371 is 6/1868348

Least Common Multiple of 788,2371 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 788,2371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,2371) = 1

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

GCF(788,2371) x common factors =1 x 1 = 1

LCM(788,2371) = ( 788 × 2371 ) / 1

LCM(788,2371) = 1868348 / 1

LCM(788,2371) = 1868348

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7746/788, 2130/2371

1. What is the HCF of 7746,2130?

The HCF of 7746,2130 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 7746/788, 2130/2371?

Answer: GCF of Numerators as per given numbers 7746/788, 2130/2371 is

GCF of Numerators i.e. for 7746,2130 is 6

LCM of denominators i.e. for 788,2371 is 1868348.

Thus, GCF of Fractions is 6/1868348.Finally, GCF of Fractions for 7746/788, 2130/2371 is 6/1868348.