Greatest Common Factor of 7777/463, 5245/3678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7777/463, 5245/3678

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 7777/463,5245/3678

Given fractions are 7777/463,5245/3678

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 7777,5245

Greatest Common Factor of Numerators i.e. GCF of 7777,5245 is 1 .

LCM of Denominators means LCM of 463,3678 as per the given fractions.

LCM of 463,3678 is 1702914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7777,5245

GCF of Fractions 7777/463,5245/3678 is 1/1702914

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

Greatest Common Factor of 7777,5245 By Matching Biggest Common Factor Method

Greatest Common Factor of 7777,5245 By Matching Biggest Common Factor Method

Factors of 7777

List of positive integer factors of 7777 that divides 7777 without a remainder.

1,7,11,77,101,707,1111,7777

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1,5,1049,5245

Greatest Common Factor

We found the factors 7777,5245 . The biggest common factor number is the GCF number.
So the greatest common factor 7777,5245 is 1.

Lets's calculate LCM of 463,3678

Given numbers has no common factors except 1. So, there LCM is their product i.e 1702914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702914

Therefore, the GCF of Fractions 7777/463,5245/3678 is 1/1702914

Least Common Multiple of 463,3678 with GCF Formula

Least Common Multiple of 463,3678 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 463,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,3678) = 1

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

GCF(463,3678) x common factors =1 x 1 = 1

LCM(463,3678) = ( 463 × 3678 ) / 1

LCM(463,3678) = 1702914 / 1

LCM(463,3678) = 1702914


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 7777/463, 5245/3678

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 7777/463, 5245/3678?

Answer: GCF of Numerators as per given numbers 7777/463, 5245/3678 is

GCF of Numerators i.e. for 7777,5245 is 1

LCM of denominators i.e. for 463,3678 is 1702914.

Thus, GCF of Fractions is 1/1702914.Finally, GCF of Fractions for 7777/463, 5245/3678 is 1/1702914.