Greatest Common Factor of 720/50, 280/26, 880/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/50, 280/26, 880/678

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 720/50,280/26,880/678

Given fractions are 720/50,280/26,880/678

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 720,280,880

Greatest Common Factor of Numerators i.e. GCF of 720,280,880 is 40 .

LCM of Denominators means LCM of 50,26,678 as per the given fractions.

LCM of 50,26,678 is 220350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,280,880

GCF of Fractions 720/50,280/26,880/678 is 40/220350

2 720, 280, 880
2 360, 140, 440
2 180, 70, 220
5 90, 35, 110
18, 7, 22

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 720,280,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,280,880 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 720,280,880 . The biggest common factor number is the GCF number.
So the greatest common factor 720,280,880 is 40.

Lets's calculate LCM of 50,26,678

2 50, 26, 678
25, 13, 339

∴ So the LCM of the given numbers is 2 x 25 x 13 x 339 = 220350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/220350

Therefore, the GCF of Fractions 720/50,280/26,880/678 is 40/220350

Least Common Multiple of 50,26,678 with GCF Formula

Least Common Multiple of 50,26,678 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 50,26,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,26,678) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(50,26,678) x common factors =2 x 2 = 4

LCM(50,26,678) = ( 50 × 26 × 678 ) / 4

LCM(50,26,678) = 881400 / 4

LCM(50,26,678) = 220350


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 720/50, 280/26, 880/678

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 720/50, 280/26, 880/678?

Answer: GCF of Numerators as per given numbers 720/50, 280/26, 880/678 is

GCF of Numerators i.e. for 720,280,880 is 40

LCM of denominators i.e. for 50,26,678 is 220350.

Thus, GCF of Fractions is 40/220350.Finally, GCF of Fractions for 720/50, 280/26, 880/678 is 40/220350.