Greatest Common Factor of 1154/35, 4990/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1154/35, 4990/335

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 1154/35,4990/335

Given fractions are 1154/35,4990/335

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 1154,4990

Greatest Common Factor of Numerators i.e. GCF of 1154,4990 is 2 .

LCM of Denominators means LCM of 35,335 as per the given fractions.

LCM of 35,335 is 2345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1154,4990

GCF of Fractions 1154/35,4990/335 is 2/2345

2 1154, 4990
577, 2495

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1154,4990 By Matching Biggest Common Factor Method

Greatest Common Factor of 1154,4990 By Matching Biggest Common Factor Method

Factors of 1154

List of positive integer factors of 1154 that divides 1154 without a remainder.

1,2,577,1154

Factors of 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1,2,5,10,499,998,2495,4990

Greatest Common Factor

We found the factors 1154,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 1154,4990 is 2.

Lets's calculate LCM of 35,335

5 35, 335
7, 67

∴ So the LCM of the given numbers is 5 x 7 x 67 = 2345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2345

Therefore, the GCF of Fractions 1154/35,4990/335 is 2/2345

Least Common Multiple of 35,335 with GCF Formula

Least Common Multiple of 35,335 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 35,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,335) = 5

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

GCF(35,335) x common factors =5 x 1 = 5

LCM(35,335) = ( 35 × 335 ) / 5

LCM(35,335) = 11725 / 5

LCM(35,335) = 2345


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 1154/35, 4990/335

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 1154/35, 4990/335?

Answer: GCF of Numerators as per given numbers 1154/35, 4990/335 is

GCF of Numerators i.e. for 1154,4990 is 2

LCM of denominators i.e. for 35,335 is 2345.

Thus, GCF of Fractions is 2/2345.Finally, GCF of Fractions for 1154/35, 4990/335 is 2/2345.