Greatest Common Factor of 3071/35, 3403/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3071/35, 3403/919

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 3071/35,3403/919

Given fractions are 3071/35,3403/919

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 3071,3403

Greatest Common Factor of Numerators i.e. GCF of 3071,3403 is 83 .

LCM of Denominators means LCM of 35,919 as per the given fractions.

LCM of 35,919 is 32165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3071,3403

GCF of Fractions 3071/35,3403/919 is 83/32165

83 3071, 3403
37, 41

∴ So the GCF of the given numbers is 83 = 83

Greatest Common Factor of 3071,3403 By Matching Biggest Common Factor Method

Greatest Common Factor of 3071,3403 By Matching Biggest Common Factor Method

Factors of 3071

List of positive integer factors of 3071 that divides 3071 without a remainder.

1,37,83,3071

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1,41,83,3403

Greatest Common Factor

We found the factors 3071,3403 . The biggest common factor number is the GCF number.
So the greatest common factor 3071,3403 is 83.

Lets's calculate LCM of 35,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 32165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/32165

Therefore, the GCF of Fractions 3071/35,3403/919 is 83/32165

Least Common Multiple of 35,919 with GCF Formula

Least Common Multiple of 35,919 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 35,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,919) = 1

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

GCF(35,919) x common factors =1 x 1 = 1

LCM(35,919) = ( 35 × 919 ) / 1

LCM(35,919) = 32165 / 1

LCM(35,919) = 32165


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 3071/35, 3403/919

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 3071/35, 3403/919?

Answer: GCF of Numerators as per given numbers 3071/35, 3403/919 is

GCF of Numerators i.e. for 3071,3403 is 83

LCM of denominators i.e. for 35,919 is 32165.

Thus, GCF of Fractions is 83/32165.Finally, GCF of Fractions for 3071/35, 3403/919 is 83/32165.