Greatest Common Factor of 7714/70, 3375/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7714/70, 3375/406

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 7714/70,3375/406

Given fractions are 7714/70,3375/406

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 7714,3375

Greatest Common Factor of Numerators i.e. GCF of 7714,3375 is 1 .

LCM of Denominators means LCM of 70,406 as per the given fractions.

LCM of 70,406 is 2030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7714,3375

GCF of Fractions 7714/70,3375/406 is 1/2030

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

Greatest Common Factor of 7714,3375 By Matching Biggest Common Factor Method

Greatest Common Factor of 7714,3375 By Matching Biggest Common Factor Method

Factors of 7714

List of positive integer factors of 7714 that divides 7714 without a remainder.

1,2,7,14,19,29,38,58,133,203,266,406,551,1102,3857,7714

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375

Greatest Common Factor

We found the factors 7714,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 7714,3375 is 1.

Lets's calculate LCM of 70,406

2 70, 406
7 35, 203
5, 29

∴ So the LCM of the given numbers is 2 x 7 x 5 x 29 = 2030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030

Therefore, the GCF of Fractions 7714/70,3375/406 is 1/2030

Least Common Multiple of 70,406 with GCF Formula

Least Common Multiple of 70,406 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 70,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,406) = 14

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

GCF(70,406) x common factors =14 x 1 = 14

LCM(70,406) = ( 70 × 406 ) / 14

LCM(70,406) = 28420 / 14

LCM(70,406) = 2030


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 7714/70, 3375/406

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 7714/70, 3375/406?

Answer: GCF of Numerators as per given numbers 7714/70, 3375/406 is

GCF of Numerators i.e. for 7714,3375 is 1

LCM of denominators i.e. for 70,406 is 2030.

Thus, GCF of Fractions is 1/2030.Finally, GCF of Fractions for 7714/70, 3375/406 is 1/2030.