Greatest Common Factor of 9744/38, 7735/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9744/38, 7735/146

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 9744/38,7735/146

Given fractions are 9744/38,7735/146

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 9744,7735

Greatest Common Factor of Numerators i.e. GCF of 9744,7735 is 7 .

LCM of Denominators means LCM of 38,146 as per the given fractions.

LCM of 38,146 is 2774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9744,7735

GCF of Fractions 9744/38,7735/146 is 7/2774

7 9744, 7735
1392, 1105

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9744,7735 By Matching Biggest Common Factor Method

Greatest Common Factor of 9744,7735 By Matching Biggest Common Factor Method

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,29,42,48,56,58,84,87,112,116,168,174,203,232,336,348,406,464,609,696,812,1218,1392,1624,2436,3248,4872,9744

Factors of 7735

List of positive integer factors of 7735 that divides 7735 without a remainder.

1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735

Greatest Common Factor

We found the factors 9744,7735 . The biggest common factor number is the GCF number.
So the greatest common factor 9744,7735 is 7.

Lets's calculate LCM of 38,146

2 38, 146
19, 73

∴ So the LCM of the given numbers is 2 x 19 x 73 = 2774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2774

Therefore, the GCF of Fractions 9744/38,7735/146 is 7/2774

Least Common Multiple of 38,146 with GCF Formula

Least Common Multiple of 38,146 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 38,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,146) = 2

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

GCF(38,146) x common factors =2 x 1 = 2

LCM(38,146) = ( 38 × 146 ) / 2

LCM(38,146) = 5548 / 2

LCM(38,146) = 2774


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 9744/38, 7735/146

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 9744/38, 7735/146?

Answer: GCF of Numerators as per given numbers 9744/38, 7735/146 is

GCF of Numerators i.e. for 9744,7735 is 7

LCM of denominators i.e. for 38,146 is 2774.

Thus, GCF of Fractions is 7/2774.Finally, GCF of Fractions for 9744/38, 7735/146 is 7/2774.