Greatest Common Factor of 3480/73, 9624/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3480/73, 9624/780

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 3480/73,9624/780

Given fractions are 3480/73,9624/780

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 3480,9624

Greatest Common Factor of Numerators i.e. GCF of 3480,9624 is 24 .

LCM of Denominators means LCM of 73,780 as per the given fractions.

LCM of 73,780 is 56940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3480,9624

GCF of Fractions 3480/73,9624/780 is 24/56940

2 3480, 9624
2 1740, 4812
2 870, 2406
3 435, 1203
145, 401

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 3480,9624 By Matching Biggest Common Factor Method

Greatest Common Factor of 3480,9624 By Matching Biggest Common Factor Method

Factors of 3480

List of positive integer factors of 3480 that divides 3480 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480

Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624

Greatest Common Factor

We found the factors 3480,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 3480,9624 is 24.

Lets's calculate LCM of 73,780

Given numbers has no common factors except 1. So, there LCM is their product i.e 56940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/56940

Therefore, the GCF of Fractions 3480/73,9624/780 is 24/56940

Least Common Multiple of 73,780 with GCF Formula

Least Common Multiple of 73,780 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 73,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,780) = 1

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

GCF(73,780) x common factors =1 x 1 = 1

LCM(73,780) = ( 73 × 780 ) / 1

LCM(73,780) = 56940 / 1

LCM(73,780) = 56940


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 3480/73, 9624/780

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 3480/73, 9624/780?

Answer: GCF of Numerators as per given numbers 3480/73, 9624/780 is

GCF of Numerators i.e. for 3480,9624 is 24

LCM of denominators i.e. for 73,780 is 56940.

Thus, GCF of Fractions is 24/56940.Finally, GCF of Fractions for 3480/73, 9624/780 is 24/56940.