Greatest Common Factor of 780/85, 110/96, 530/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/85, 110/96, 530/313

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 780/85,110/96,530/313

Given fractions are 780/85,110/96,530/313

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 780,110,530

Greatest Common Factor of Numerators i.e. GCF of 780,110,530 is 10 .

LCM of Denominators means LCM of 85,96,313 as per the given fractions.

LCM of 85,96,313 is 2554080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,110,530

GCF of Fractions 780/85,110/96,530/313 is 10/2554080

2 780, 110, 530
5 390, 55, 265
78, 11, 53

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 780,110,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,110,530 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 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 780,110,530 . The biggest common factor number is the GCF number.
So the greatest common factor 780,110,530 is 10.

Lets's calculate LCM of 85,96,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 2554080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2554080

Therefore, the GCF of Fractions 780/85,110/96,530/313 is 10/2554080

Least Common Multiple of 85,96,313 with GCF Formula

Least Common Multiple of 85,96,313 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 85,96,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,96,313) = 1

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

GCF(85,96,313) x common factors =1 x 1 = 1

LCM(85,96,313) = ( 85 × 96 × 313 ) / 1

LCM(85,96,313) = 2554080 / 1

LCM(85,96,313) = 2554080


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 780/85, 110/96, 530/313

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 780/85, 110/96, 530/313?

Answer: GCF of Numerators as per given numbers 780/85, 110/96, 530/313 is

GCF of Numerators i.e. for 780,110,530 is 10

LCM of denominators i.e. for 85,96,313 is 2554080.

Thus, GCF of Fractions is 10/2554080.Finally, GCF of Fractions for 780/85, 110/96, 530/313 is 10/2554080.