Greatest Common Factor of 9745/752, 7058/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9745/752, 7058/804

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 9745/752,7058/804

Given fractions are 9745/752,7058/804

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 9745,7058

Greatest Common Factor of Numerators i.e. GCF of 9745,7058 is 1 .

LCM of Denominators means LCM of 752,804 as per the given fractions.

LCM of 752,804 is 151152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9745,7058

GCF of Fractions 9745/752,7058/804 is 1/151152

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

Greatest Common Factor of 9745,7058 By Matching Biggest Common Factor Method

Greatest Common Factor of 9745,7058 By Matching Biggest Common Factor Method

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1,5,1949,9745

Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1,2,3529,7058

Greatest Common Factor

We found the factors 9745,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 9745,7058 is 1.

Lets's calculate LCM of 752,804

2 752, 804
2 376, 402
188, 201

∴ So the LCM of the given numbers is 2 x 2 x 188 x 201 = 151152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151152

Therefore, the GCF of Fractions 9745/752,7058/804 is 1/151152

Least Common Multiple of 752,804 with GCF Formula

Least Common Multiple of 752,804 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 752,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,804) = 4

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

GCF(752,804) x common factors =4 x 1 = 4

LCM(752,804) = ( 752 × 804 ) / 4

LCM(752,804) = 604608 / 4

LCM(752,804) = 151152


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 9745/752, 7058/804

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 9745/752, 7058/804?

Answer: GCF of Numerators as per given numbers 9745/752, 7058/804 is

GCF of Numerators i.e. for 9745,7058 is 1

LCM of denominators i.e. for 752,804 is 151152.

Thus, GCF of Fractions is 1/151152.Finally, GCF of Fractions for 9745/752, 7058/804 is 1/151152.