Greatest Common Factor of 770/21, 526/75, 781/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/21, 526/75, 781/911

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 770/21,526/75,781/911

Given fractions are 770/21,526/75,781/911

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 770,526,781

Greatest Common Factor of Numerators i.e. GCF of 770,526,781 is 1 .

LCM of Denominators means LCM of 21,75,911 as per the given fractions.

LCM of 21,75,911 is 478275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,526,781

GCF of Fractions 770/21,526/75,781/911 is 1/478275

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

Greatest Common Factor of 770,526,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,526,781 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 770,526,781 . The biggest common factor number is the GCF number.
So the greatest common factor 770,526,781 is 1.

Lets's calculate LCM of 21,75,911

3 21, 75, 911
7, 25, 911

∴ So the LCM of the given numbers is 3 x 7 x 25 x 911 = 478275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478275

Therefore, the GCF of Fractions 770/21,526/75,781/911 is 1/478275

Least Common Multiple of 21,75,911 with GCF Formula

Least Common Multiple of 21,75,911 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 21,75,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,75,911) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,75,911) x common factors =1 x 3 = 3

LCM(21,75,911) = ( 21 × 75 × 911 ) / 3

LCM(21,75,911) = 1434825 / 3

LCM(21,75,911) = 478275


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 770/21, 526/75, 781/911

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 770/21, 526/75, 781/911?

Answer: GCF of Numerators as per given numbers 770/21, 526/75, 781/911 is

GCF of Numerators i.e. for 770,526,781 is 1

LCM of denominators i.e. for 21,75,911 is 478275.

Thus, GCF of Fractions is 1/478275.Finally, GCF of Fractions for 770/21, 526/75, 781/911 is 1/478275.