How to Find GCF of 777/83, 875/20, 789/76?

GCF of 777/83, 875/20, 789/76

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 777/83, 875/20, 789/76 i.e 1/31540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/83, 875/20, 789/76.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 777/83,875/20,789/76?

Given fractions are 777/83,875/20,789/76

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 777/83,875/20,789/76, numerators are 777,875,789

Denominators are 83,20,76

The GCF of 777,875,789 is 1 .

LCM of 83,20,76 is 31540.

The greatest common factor of 777/83,875/20,789/76 = [GCF of 777,875,789]/[LCM of 83,20,76]= 1/31540

Therefore, the GCF of 777/83,875/20,789/76 is 1/31540.

Greatest Common Factor of 777,875,789

To find the highest common factor of 777,875,789, we have to find the factors of both numbers and list the highest common factor.

The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875

The factors of 789 are 1, 3, 263, 789

The HCF of 777,875,789 is 1.

Lets's calculate GCF of 777,875,789

Greatest Common Factor (GCF) of 777,875,789 By Common Division

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

Greatest Common Factor of 777,875,789 By Matching Biggest Common Factor Method

Now, list down the factors of 777

1,3,7,21,37,111,259,777

Now, list down the factors of 875

1,5,7,25,35,125,175,875

Now, list down the factors of 789

1,3,263,789

Greatest Common Factor

We found the factors 777,875,789 . The biggest common factor number is the GCF number.
So the greatest common factor 777,875,789 is 1.

Lets's calculate LCM of 83,20,76

Lowest Common Multiple of 83,20,76 using Common Division

2	83, 20, 76
2	83, 10, 38
	83, 5, 19

∴ So the LCM of the given numbers is 2 x 2 x 83 x 5 x 19 = 31540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31540

Therefore, the GCF of Fractions 777/83,875/20,789/76 is 1/31540

Least Common Multiple of 83,20,76 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 83,20,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,20,76) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(83,20,76) x common factors =1 x 4 = 4

LCM(83,20,76) = ( 83 × 20 × 76 ) / 4

LCM(83,20,76) = 126160 / 4

LCM(83,20,76) = 31540

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 777/83, 875/20, 789/76

1. What is the HCF of 777,875,789?

The HCF of 777,875,789 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 777/83, 875/20, 789/76?

Answer: GCF of Numerators as per given numbers 777/83, 875/20, 789/76 is

GCF of Numerators i.e. for 777,875,789 is 1

LCM of denominators i.e. for 83,20,76 is 31540.

Thus, GCF of Fractions is 1/31540.Finally, GCF of Fractions for 777/83, 875/20, 789/76 is 1/31540.