Greatest Common Factor of 9454/407, 4977/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9454/407, 4977/750

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 9454/407,4977/750

Given fractions are 9454/407,4977/750

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 9454,4977

Greatest Common Factor of Numerators i.e. GCF of 9454,4977 is 1 .

LCM of Denominators means LCM of 407,750 as per the given fractions.

LCM of 407,750 is 305250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9454,4977

GCF of Fractions 9454/407,4977/750 is 1/305250

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

Greatest Common Factor of 9454,4977 By Matching Biggest Common Factor Method

Greatest Common Factor of 9454,4977 By Matching Biggest Common Factor Method

Factors of 9454

List of positive integer factors of 9454 that divides 9454 without a remainder.

1,2,29,58,163,326,4727,9454

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Greatest Common Factor

We found the factors 9454,4977 . The biggest common factor number is the GCF number.
So the greatest common factor 9454,4977 is 1.

Lets's calculate LCM of 407,750

Given numbers has no common factors except 1. So, there LCM is their product i.e 305250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305250

Therefore, the GCF of Fractions 9454/407,4977/750 is 1/305250

Least Common Multiple of 407,750 with GCF Formula

Least Common Multiple of 407,750 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 407,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,750) = 1

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

GCF(407,750) x common factors =1 x 1 = 1

LCM(407,750) = ( 407 × 750 ) / 1

LCM(407,750) = 305250 / 1

LCM(407,750) = 305250


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 9454/407, 4977/750

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 9454/407, 4977/750?

Answer: GCF of Numerators as per given numbers 9454/407, 4977/750 is

GCF of Numerators i.e. for 9454,4977 is 1

LCM of denominators i.e. for 407,750 is 305250.

Thus, GCF of Fractions is 1/305250.Finally, GCF of Fractions for 9454/407, 4977/750 is 1/305250.