Greatest Common Factor of 780/210, 3480/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/210, 3480/318

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 780/210,3480/318

Given fractions are 780/210,3480/318

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 780,3480

Greatest Common Factor of Numerators i.e. GCF of 780,3480 is 60 .

LCM of Denominators means LCM of 210,318 as per the given fractions.

LCM of 210,318 is 11130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,3480

GCF of Fractions 780/210,3480/318 is 60/11130

2 780, 3480
2 390, 1740
3 195, 870
5 65, 290
13, 58

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 780,3480 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,3480 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

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

Greatest Common Factor

We found the factors 780,3480 . The biggest common factor number is the GCF number.
So the greatest common factor 780,3480 is 60.

Lets's calculate LCM of 210,318

2 210, 318
3 105, 159
35, 53

∴ So the LCM of the given numbers is 2 x 3 x 35 x 53 = 11130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/11130

Therefore, the GCF of Fractions 780/210,3480/318 is 60/11130

Least Common Multiple of 210,318 with GCF Formula

Least Common Multiple of 210,318 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 210,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,318) = 6

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

GCF(210,318) x common factors =6 x 1 = 6

LCM(210,318) = ( 210 × 318 ) / 6

LCM(210,318) = 66780 / 6

LCM(210,318) = 11130


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 780/210, 3480/318

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 780/210, 3480/318?

Answer: GCF of Numerators as per given numbers 780/210, 3480/318 is

GCF of Numerators i.e. for 780,3480 is 60

LCM of denominators i.e. for 210,318 is 11130.

Thus, GCF of Fractions is 60/11130.Finally, GCF of Fractions for 780/210, 3480/318 is 60/11130.