Greatest Common Factor of 7616/673, 3620/2510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7616/673, 3620/2510

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 7616/673,3620/2510

Given fractions are 7616/673,3620/2510

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 7616,3620

Greatest Common Factor of Numerators i.e. GCF of 7616,3620 is 4 .

LCM of Denominators means LCM of 673,2510 as per the given fractions.

LCM of 673,2510 is 1689230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7616,3620

GCF of Fractions 7616/673,3620/2510 is 4/1689230

2 7616, 3620
2 3808, 1810
1904, 905

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7616,3620 By Matching Biggest Common Factor Method

Greatest Common Factor of 7616,3620 By Matching Biggest Common Factor Method

Factors of 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1,2,4,5,10,20,181,362,724,905,1810,3620

Greatest Common Factor

We found the factors 7616,3620 . The biggest common factor number is the GCF number.
So the greatest common factor 7616,3620 is 4.

Lets's calculate LCM of 673,2510

Given numbers has no common factors except 1. So, there LCM is their product i.e 1689230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1689230

Therefore, the GCF of Fractions 7616/673,3620/2510 is 4/1689230

Least Common Multiple of 673,2510 with GCF Formula

Least Common Multiple of 673,2510 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 673,2510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,2510) = 1

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

GCF(673,2510) x common factors =1 x 1 = 1

LCM(673,2510) = ( 673 × 2510 ) / 1

LCM(673,2510) = 1689230 / 1

LCM(673,2510) = 1689230


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 7616/673, 3620/2510

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 7616/673, 3620/2510?

Answer: GCF of Numerators as per given numbers 7616/673, 3620/2510 is

GCF of Numerators i.e. for 7616,3620 is 4

LCM of denominators i.e. for 673,2510 is 1689230.

Thus, GCF of Fractions is 4/1689230.Finally, GCF of Fractions for 7616/673, 3620/2510 is 4/1689230.