Greatest Common Factor of 7780/396, 7705/4813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7780/396, 7705/4813

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 7780/396,7705/4813

Given fractions are 7780/396,7705/4813

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 7780,7705

Greatest Common Factor of Numerators i.e. GCF of 7780,7705 is 5 .

LCM of Denominators means LCM of 396,4813 as per the given fractions.

LCM of 396,4813 is 1905948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7780,7705

GCF of Fractions 7780/396,7705/4813 is 5/1905948

5 7780, 7705
1556, 1541

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7780,7705 By Matching Biggest Common Factor Method

Greatest Common Factor of 7780,7705 By Matching Biggest Common Factor Method

Factors of 7780

List of positive integer factors of 7780 that divides 7780 without a remainder.

1,2,4,5,10,20,389,778,1556,1945,3890,7780

Factors of 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1,5,23,67,115,335,1541,7705

Greatest Common Factor

We found the factors 7780,7705 . The biggest common factor number is the GCF number.
So the greatest common factor 7780,7705 is 5.

Lets's calculate LCM of 396,4813

Given numbers has no common factors except 1. So, there LCM is their product i.e 1905948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1905948

Therefore, the GCF of Fractions 7780/396,7705/4813 is 5/1905948

Least Common Multiple of 396,4813 with GCF Formula

Least Common Multiple of 396,4813 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 396,4813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,4813) = 1

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

GCF(396,4813) x common factors =1 x 1 = 1

LCM(396,4813) = ( 396 × 4813 ) / 1

LCM(396,4813) = 1905948 / 1

LCM(396,4813) = 1905948


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 7780/396, 7705/4813

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 7780/396, 7705/4813?

Answer: GCF of Numerators as per given numbers 7780/396, 7705/4813 is

GCF of Numerators i.e. for 7780,7705 is 5

LCM of denominators i.e. for 396,4813 is 1905948.

Thus, GCF of Fractions is 5/1905948.Finally, GCF of Fractions for 7780/396, 7705/4813 is 5/1905948.