Greatest Common Factor of 705/264, 1408/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/264, 1408/360

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 705/264,1408/360

Given fractions are 705/264,1408/360

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 705,1408

Greatest Common Factor of Numerators i.e. GCF of 705,1408 is 1 .

LCM of Denominators means LCM of 264,360 as per the given fractions.

LCM of 264,360 is 3960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,1408

GCF of Fractions 705/264,1408/360 is 1/3960

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

Greatest Common Factor of 705,1408 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,1408 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 1408

List of positive integer factors of 1408 that divides 1408 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,352,704,1408

Greatest Common Factor

We found the factors 705,1408 . The biggest common factor number is the GCF number.
So the greatest common factor 705,1408 is 1.

Lets's calculate LCM of 264,360

2 264, 360
2 132, 180
2 66, 90
3 33, 45
11, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 15 = 3960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3960

Therefore, the GCF of Fractions 705/264,1408/360 is 1/3960

Least Common Multiple of 264,360 with GCF Formula

Least Common Multiple of 264,360 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 264,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,360) = 24

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

GCF(264,360) x common factors =24 x 1 = 24

LCM(264,360) = ( 264 × 360 ) / 24

LCM(264,360) = 95040 / 24

LCM(264,360) = 3960


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 705/264, 1408/360

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 705/264, 1408/360?

Answer: GCF of Numerators as per given numbers 705/264, 1408/360 is

GCF of Numerators i.e. for 705,1408 is 1

LCM of denominators i.e. for 264,360 is 3960.

Thus, GCF of Fractions is 1/3960.Finally, GCF of Fractions for 705/264, 1408/360 is 1/3960.