Greatest Common Factor of 680/44, 730/68, 772/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/44, 730/68, 772/800

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 680/44,730/68,772/800

Given fractions are 680/44,730/68,772/800

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 680,730,772

Greatest Common Factor of Numerators i.e. GCF of 680,730,772 is 2 .

LCM of Denominators means LCM of 44,68,800 as per the given fractions.

LCM of 44,68,800 is 149600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,730,772

GCF of Fractions 680/44,730/68,772/800 is 2/149600

2 680, 730, 772
340, 365, 386

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

Greatest Common Factor of 680,730,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,730,772 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 680,730,772 . The biggest common factor number is the GCF number.
So the greatest common factor 680,730,772 is 2.

Lets's calculate LCM of 44,68,800

2 44, 68, 800
2 22, 34, 400
11, 17, 200

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 200 = 149600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149600

Therefore, the GCF of Fractions 680/44,730/68,772/800 is 2/149600

Least Common Multiple of 44,68,800 with GCF Formula

Least Common Multiple of 44,68,800 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 44,68,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,800) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(44,68,800) x common factors =4 x 4 = 16

LCM(44,68,800) = ( 44 × 68 × 800 ) / 16

LCM(44,68,800) = 2393600 / 16

LCM(44,68,800) = 149600


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 680/44, 730/68, 772/800

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 680/44, 730/68, 772/800?

Answer: GCF of Numerators as per given numbers 680/44, 730/68, 772/800 is

GCF of Numerators i.e. for 680,730,772 is 2

LCM of denominators i.e. for 44,68,800 is 149600.

Thus, GCF of Fractions is 2/149600.Finally, GCF of Fractions for 680/44, 730/68, 772/800 is 2/149600.