Greatest Common Factor of 9454/248, 3413/9876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9454/248, 3413/9876

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 9454/248,3413/9876

Given fractions are 9454/248,3413/9876

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 9454,3413

Greatest Common Factor of Numerators i.e. GCF of 9454,3413 is 1 .

LCM of Denominators means LCM of 248,9876 as per the given fractions.

LCM of 248,9876 is 612312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9454,3413

GCF of Fractions 9454/248,3413/9876 is 1/612312

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

Greatest Common Factor of 9454,3413 By Matching Biggest Common Factor Method

Greatest Common Factor of 9454,3413 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 3413

List of positive integer factors of 3413 that divides 3413 without a remainder.

1,3413

Greatest Common Factor

We found the factors 9454,3413 . The biggest common factor number is the GCF number.
So the greatest common factor 9454,3413 is 1.

Lets's calculate LCM of 248,9876

2 248, 9876
2 124, 4938
62, 2469

∴ So the LCM of the given numbers is 2 x 2 x 62 x 2469 = 612312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612312

Therefore, the GCF of Fractions 9454/248,3413/9876 is 1/612312

Least Common Multiple of 248,9876 with GCF Formula

Least Common Multiple of 248,9876 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 248,9876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,9876) = 4

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

GCF(248,9876) x common factors =4 x 1 = 4

LCM(248,9876) = ( 248 × 9876 ) / 4

LCM(248,9876) = 2449248 / 4

LCM(248,9876) = 612312


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 9454/248, 3413/9876

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 9454/248, 3413/9876?

Answer: GCF of Numerators as per given numbers 9454/248, 3413/9876 is

GCF of Numerators i.e. for 9454,3413 is 1

LCM of denominators i.e. for 248,9876 is 612312.

Thus, GCF of Fractions is 1/612312.Finally, GCF of Fractions for 9454/248, 3413/9876 is 1/612312.