Greatest Common Factor of 7768/701, 9144/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7768/701, 9144/823

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 7768/701,9144/823

Given fractions are 7768/701,9144/823

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 7768,9144

Greatest Common Factor of Numerators i.e. GCF of 7768,9144 is 8 .

LCM of Denominators means LCM of 701,823 as per the given fractions.

LCM of 701,823 is 576923 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7768,9144

GCF of Fractions 7768/701,9144/823 is 8/576923

2 7768, 9144
2 3884, 4572
2 1942, 2286
971, 1143

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7768,9144 By Matching Biggest Common Factor Method

Greatest Common Factor of 7768,9144 By Matching Biggest Common Factor Method

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Greatest Common Factor

We found the factors 7768,9144 . The biggest common factor number is the GCF number.
So the greatest common factor 7768,9144 is 8.

Lets's calculate LCM of 701,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 576923

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/576923

Therefore, the GCF of Fractions 7768/701,9144/823 is 8/576923

Least Common Multiple of 701,823 with GCF Formula

Least Common Multiple of 701,823 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 701,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,823) = 1

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

GCF(701,823) x common factors =1 x 1 = 1

LCM(701,823) = ( 701 × 823 ) / 1

LCM(701,823) = 576923 / 1

LCM(701,823) = 576923


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 7768/701, 9144/823

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 7768/701, 9144/823?

Answer: GCF of Numerators as per given numbers 7768/701, 9144/823 is

GCF of Numerators i.e. for 7768,9144 is 8

LCM of denominators i.e. for 701,823 is 576923.

Thus, GCF of Fractions is 8/576923.Finally, GCF of Fractions for 7768/701, 9144/823 is 8/576923.