Greatest Common Factor of 6928/898, 2320/7072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6928/898, 2320/7072

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 6928/898,2320/7072

Given fractions are 6928/898,2320/7072

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 6928,2320

Greatest Common Factor of Numerators i.e. GCF of 6928,2320 is 16 .

LCM of Denominators means LCM of 898,7072 as per the given fractions.

LCM of 898,7072 is 3175328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6928,2320

GCF of Fractions 6928/898,2320/7072 is 16/3175328

2 6928, 2320
2 3464, 1160
2 1732, 580
2 866, 290
433, 145

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 6928,2320 By Matching Biggest Common Factor Method

Greatest Common Factor of 6928,2320 By Matching Biggest Common Factor Method

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1,2,4,8,16,433,866,1732,3464,6928

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors 6928,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,2320 is 16.

Lets's calculate LCM of 898,7072

2 898, 7072
449, 3536

∴ So the LCM of the given numbers is 2 x 449 x 3536 = 3175328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3175328

Therefore, the GCF of Fractions 6928/898,2320/7072 is 16/3175328

Least Common Multiple of 898,7072 with GCF Formula

Least Common Multiple of 898,7072 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 898,7072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,7072) = 2

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

GCF(898,7072) x common factors =2 x 1 = 2

LCM(898,7072) = ( 898 × 7072 ) / 2

LCM(898,7072) = 6350656 / 2

LCM(898,7072) = 3175328


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 6928/898, 2320/7072

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 6928/898, 2320/7072?

Answer: GCF of Numerators as per given numbers 6928/898, 2320/7072 is

GCF of Numerators i.e. for 6928,2320 is 16

LCM of denominators i.e. for 898,7072 is 3175328.

Thus, GCF of Fractions is 16/3175328.Finally, GCF of Fractions for 6928/898, 2320/7072 is 16/3175328.