Greatest Common Factor of 698/91, 741/39, 780/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 698/91, 741/39, 780/761

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 698/91,741/39,780/761

Given fractions are 698/91,741/39,780/761

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 698,741,780

Greatest Common Factor of Numerators i.e. GCF of 698,741,780 is 1 .

LCM of Denominators means LCM of 91,39,761 as per the given fractions.

LCM of 91,39,761 is 207753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 698,741,780

GCF of Fractions 698/91,741/39,780/761 is 1/207753

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

Greatest Common Factor of 698,741,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,741,780 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 698,741,780 . The biggest common factor number is the GCF number.
So the greatest common factor 698,741,780 is 1.

Lets's calculate LCM of 91,39,761

13 91, 39, 761
7, 3, 761

∴ So the LCM of the given numbers is 13 x 7 x 3 x 761 = 207753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207753

Therefore, the GCF of Fractions 698/91,741/39,780/761 is 1/207753

Least Common Multiple of 91,39,761 with GCF Formula

Least Common Multiple of 91,39,761 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 91,39,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,39,761) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,39,761) x common factors =1 x 13 = 13

LCM(91,39,761) = ( 91 × 39 × 761 ) / 13

LCM(91,39,761) = 2700789 / 13

LCM(91,39,761) = 207753


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 698/91, 741/39, 780/761

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 698/91, 741/39, 780/761?

Answer: GCF of Numerators as per given numbers 698/91, 741/39, 780/761 is

GCF of Numerators i.e. for 698,741,780 is 1

LCM of denominators i.e. for 91,39,761 is 207753.

Thus, GCF of Fractions is 1/207753.Finally, GCF of Fractions for 698/91, 741/39, 780/761 is 1/207753.