Greatest Common Factor of 1/24, 53/66, 35/480, 280/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/24, 53/66, 35/480, 280/354

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 1/24,53/66,35/480,280/354

Given fractions are 1/24,53/66,35/480,280/354

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 1,53,35,280

Greatest Common Factor of Numerators i.e. GCF of 1,53,35,280 is 1 .

LCM of Denominators means LCM of 24,66,480,354 as per the given fractions.

LCM of 24,66,480,354 is 311520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,53,35,280

GCF of Fractions 1/24,53/66,35/480,280/354 is 1/311520

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

Greatest Common Factor of 1,53,35,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,53,35,280 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 1,53,35,280 . The biggest common factor number is the GCF number.
So the greatest common factor 1,53,35,280 is 1.

Lets's calculate LCM of 24,66,480,354

2 24, 66, 480, 354
2 12, 33, 240, 177
2 6, 33, 120, 177
3 3, 33, 60, 177
1, 11, 20, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 11 x 20 x 59 = 311520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311520

Therefore, the GCF of Fractions 1/24,53/66,35/480,280/354 is 1/311520

Least Common Multiple of 24,66,480,354 with GCF Formula

Least Common Multiple of 24,66,480,354 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 24,66,480,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,66,480,354) = 6

common factors(in case of two or more numbers have common factors) = 144

GCF(24,66,480,354) x common factors =6 x 144 = 864

LCM(24,66,480,354) = ( 24 × 66 × 480 × 354 ) / 864

LCM(24,66,480,354) = 269153280 / 864

LCM(24,66,480,354) = 311520


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 1/24, 53/66, 35/480, 280/354

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 1/24, 53/66, 35/480, 280/354?

Answer: GCF of Numerators as per given numbers 1/24, 53/66, 35/480, 280/354 is

GCF of Numerators i.e. for 1,53,35,280 is 1

LCM of denominators i.e. for 24,66,480,354 is 311520.

Thus, GCF of Fractions is 1/311520.Finally, GCF of Fractions for 1/24, 53/66, 35/480, 280/354 is 1/311520.