Greatest Common Factor of 701/374, 7202/1782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 701/374, 7202/1782

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 701/374,7202/1782

Given fractions are 701/374,7202/1782

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 701,7202

Greatest Common Factor of Numerators i.e. GCF of 701,7202 is 1 .

LCM of Denominators means LCM of 374,1782 as per the given fractions.

LCM of 374,1782 is 30294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 701,7202

GCF of Fractions 701/374,7202/1782 is 1/30294

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

Greatest Common Factor of 701,7202 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,7202 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 701,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 701,7202 is 1.

Lets's calculate LCM of 374,1782

2 374, 1782
11 187, 891
17, 81

∴ So the LCM of the given numbers is 2 x 11 x 17 x 81 = 30294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30294

Therefore, the GCF of Fractions 701/374,7202/1782 is 1/30294

Least Common Multiple of 374,1782 with GCF Formula

Least Common Multiple of 374,1782 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 374,1782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,1782) = 22

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

GCF(374,1782) x common factors =22 x 1 = 22

LCM(374,1782) = ( 374 × 1782 ) / 22

LCM(374,1782) = 666468 / 22

LCM(374,1782) = 30294


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 701/374, 7202/1782

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 701/374, 7202/1782?

Answer: GCF of Numerators as per given numbers 701/374, 7202/1782 is

GCF of Numerators i.e. for 701,7202 is 1

LCM of denominators i.e. for 374,1782 is 30294.

Thus, GCF of Fractions is 1/30294.Finally, GCF of Fractions for 701/374, 7202/1782 is 1/30294.