Greatest Common Factor of 9344/419, 9577/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9344/419, 9577/777

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 9344/419,9577/777

Given fractions are 9344/419,9577/777

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 9344,9577

Greatest Common Factor of Numerators i.e. GCF of 9344,9577 is 1 .

LCM of Denominators means LCM of 419,777 as per the given fractions.

LCM of 419,777 is 325563 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9344,9577

GCF of Fractions 9344/419,9577/777 is 1/325563

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

Greatest Common Factor of 9344,9577 By Matching Biggest Common Factor Method

Greatest Common Factor of 9344,9577 By Matching Biggest Common Factor Method

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1,61,157,9577

Greatest Common Factor

We found the factors 9344,9577 . The biggest common factor number is the GCF number.
So the greatest common factor 9344,9577 is 1.

Lets's calculate LCM of 419,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 325563

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325563

Therefore, the GCF of Fractions 9344/419,9577/777 is 1/325563

Least Common Multiple of 419,777 with GCF Formula

Least Common Multiple of 419,777 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 419,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,777) = 1

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

GCF(419,777) x common factors =1 x 1 = 1

LCM(419,777) = ( 419 × 777 ) / 1

LCM(419,777) = 325563 / 1

LCM(419,777) = 325563


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 9344/419, 9577/777

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 9344/419, 9577/777?

Answer: GCF of Numerators as per given numbers 9344/419, 9577/777 is

GCF of Numerators i.e. for 9344,9577 is 1

LCM of denominators i.e. for 419,777 is 325563.

Thus, GCF of Fractions is 1/325563.Finally, GCF of Fractions for 9344/419, 9577/777 is 1/325563.