Greatest Common Factor of 9685/120, 1263/9064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9685/120, 1263/9064

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 9685/120,1263/9064

Given fractions are 9685/120,1263/9064

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 9685,1263

Greatest Common Factor of Numerators i.e. GCF of 9685,1263 is 1 .

LCM of Denominators means LCM of 120,9064 as per the given fractions.

LCM of 120,9064 is 135960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9685,1263

GCF of Fractions 9685/120,1263/9064 is 1/135960

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

Greatest Common Factor of 9685,1263 By Matching Biggest Common Factor Method

Greatest Common Factor of 9685,1263 By Matching Biggest Common Factor Method

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Factors of 1263

List of positive integer factors of 1263 that divides 1263 without a remainder.

1,3,421,1263

Greatest Common Factor

We found the factors 9685,1263 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,1263 is 1.

Lets's calculate LCM of 120,9064

2 120, 9064
2 60, 4532
2 30, 2266
15, 1133

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 1133 = 135960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135960

Therefore, the GCF of Fractions 9685/120,1263/9064 is 1/135960

Least Common Multiple of 120,9064 with GCF Formula

Least Common Multiple of 120,9064 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 120,9064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,9064) = 8

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

GCF(120,9064) x common factors =8 x 1 = 8

LCM(120,9064) = ( 120 × 9064 ) / 8

LCM(120,9064) = 1087680 / 8

LCM(120,9064) = 135960


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 9685/120, 1263/9064

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 9685/120, 1263/9064?

Answer: GCF of Numerators as per given numbers 9685/120, 1263/9064 is

GCF of Numerators i.e. for 9685,1263 is 1

LCM of denominators i.e. for 120,9064 is 135960.

Thus, GCF of Fractions is 1/135960.Finally, GCF of Fractions for 9685/120, 1263/9064 is 1/135960.