Greatest Common Factor of 1264/40, 4064/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1264/40, 4064/960

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 1264/40,4064/960

Given fractions are 1264/40,4064/960

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 1264,4064

Greatest Common Factor of Numerators i.e. GCF of 1264,4064 is 16 .

LCM of Denominators means LCM of 40,960 as per the given fractions.

LCM of 40,960 is 960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1264,4064

GCF of Fractions 1264/40,4064/960 is 16/960

2 1264, 4064
2 632, 2032
2 316, 1016
2 158, 508
79, 254

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 1264,4064 By Matching Biggest Common Factor Method

Greatest Common Factor of 1264,4064 By Matching Biggest Common Factor Method

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1,2,4,8,16,32,127,254,508,1016,2032,4064

Greatest Common Factor

We found the factors 1264,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 1264,4064 is 16.

Lets's calculate LCM of 40,960

2 40, 960
2 20, 480
2 10, 240
5 5, 120
1, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 24 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/960

Therefore, the GCF of Fractions 1264/40,4064/960 is 16/960

Least Common Multiple of 40,960 with GCF Formula

Least Common Multiple of 40,960 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 40,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,960) = 40

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

GCF(40,960) x common factors =40 x 1 = 40

LCM(40,960) = ( 40 × 960 ) / 40

LCM(40,960) = 38400 / 40

LCM(40,960) = 960


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 1264/40, 4064/960

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 1264/40, 4064/960?

Answer: GCF of Numerators as per given numbers 1264/40, 4064/960 is

GCF of Numerators i.e. for 1264,4064 is 16

LCM of denominators i.e. for 40,960 is 960.

Thus, GCF of Fractions is 16/960.Finally, GCF of Fractions for 1264/40, 4064/960 is 16/960.