Greatest Common Factor of 45/69, 77/96, 12/48, 80/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/69, 77/96, 12/48, 80/562

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 45/69,77/96,12/48,80/562

Given fractions are 45/69,77/96,12/48,80/562

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 45,77,12,80

Greatest Common Factor of Numerators i.e. GCF of 45,77,12,80 is 1 .

LCM of Denominators means LCM of 69,96,48,562 as per the given fractions.

LCM of 69,96,48,562 is 620448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,77,12,80

GCF of Fractions 45/69,77/96,12/48,80/562 is 1/620448

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

Greatest Common Factor of 45,77,12,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,77,12,80 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Greatest Common Factor

We found the factors 45,77,12,80 . The biggest common factor number is the GCF number.
So the greatest common factor 45,77,12,80 is 1.

Lets's calculate LCM of 69,96,48,562

2 69, 96, 48, 562
2 69, 48, 24, 281
2 69, 12, 24, 281
2 69, 6, 12, 281
3 69, 3, 6, 281
23, 1, 2, 281

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 23 x 1 x 2 x 281 = 620448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620448

Therefore, the GCF of Fractions 45/69,77/96,12/48,80/562 is 1/620448

Least Common Multiple of 69,96,48,562 with GCF Formula

Least Common Multiple of 69,96,48,562 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 69,96,48,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,96,48,562) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(69,96,48,562) x common factors =1 x 288 = 288

LCM(69,96,48,562) = ( 69 × 96 × 48 × 562 ) / 288

LCM(69,96,48,562) = 178689024 / 288

LCM(69,96,48,562) = 620448


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 45/69, 77/96, 12/48, 80/562

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 45/69, 77/96, 12/48, 80/562?

Answer: GCF of Numerators as per given numbers 45/69, 77/96, 12/48, 80/562 is

GCF of Numerators i.e. for 45,77,12,80 is 1

LCM of denominators i.e. for 69,96,48,562 is 620448.

Thus, GCF of Fractions is 1/620448.Finally, GCF of Fractions for 45/69, 77/96, 12/48, 80/562 is 1/620448.