Greatest Common Factor of 78/617, 61/230, 990/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/617, 61/230, 990/981

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 78/617,61/230,990/981

Given fractions are 78/617,61/230,990/981

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 78,61,990

Greatest Common Factor of Numerators i.e. GCF of 78,61,990 is 1 .

LCM of Denominators means LCM of 617,230,981 as per the given fractions.

LCM of 617,230,981 is 139213710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,61,990

GCF of Fractions 78/617,61/230,990/981 is 1/139213710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 78,61,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,61,990 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 78,61,990 . The biggest common factor number is the GCF number.
So the greatest common factor 78,61,990 is 1.

Lets's calculate LCM of 617,230,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 139213710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139213710

Therefore, the GCF of Fractions 78/617,61/230,990/981 is 1/139213710

Least Common Multiple of 617,230,981 with GCF Formula

Least Common Multiple of 617,230,981 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 617,230,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,230,981) = 1

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

GCF(617,230,981) x common factors =1 x 1 = 1

LCM(617,230,981) = ( 617 × 230 × 981 ) / 1

LCM(617,230,981) = 139213710 / 1

LCM(617,230,981) = 139213710


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 78/617, 61/230, 990/981

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 78/617, 61/230, 990/981?

Answer: GCF of Numerators as per given numbers 78/617, 61/230, 990/981 is

GCF of Numerators i.e. for 78,61,990 is 1

LCM of denominators i.e. for 617,230,981 is 139213710.

Thus, GCF of Fractions is 1/139213710.Finally, GCF of Fractions for 78/617, 61/230, 990/981 is 1/139213710.