Greatest Common Factor of 728/89, 8052/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/89, 8052/701

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 728/89,8052/701

Given fractions are 728/89,8052/701

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 728,8052

Greatest Common Factor of Numerators i.e. GCF of 728,8052 is 4 .

LCM of Denominators means LCM of 89,701 as per the given fractions.

LCM of 89,701 is 62389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,8052

GCF of Fractions 728/89,8052/701 is 4/62389

2 728, 8052
2 364, 4026
182, 2013

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 728,8052 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,8052 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

Greatest Common Factor

We found the factors 728,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 728,8052 is 4.

Lets's calculate LCM of 89,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 62389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/62389

Therefore, the GCF of Fractions 728/89,8052/701 is 4/62389

Least Common Multiple of 89,701 with GCF Formula

Least Common Multiple of 89,701 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 89,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,701) = 1

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

GCF(89,701) x common factors =1 x 1 = 1

LCM(89,701) = ( 89 × 701 ) / 1

LCM(89,701) = 62389 / 1

LCM(89,701) = 62389


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 728/89, 8052/701

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 728/89, 8052/701?

Answer: GCF of Numerators as per given numbers 728/89, 8052/701 is

GCF of Numerators i.e. for 728,8052 is 4

LCM of denominators i.e. for 89,701 is 62389.

Thus, GCF of Fractions is 4/62389.Finally, GCF of Fractions for 728/89, 8052/701 is 4/62389.