Greatest Common Factor of 1698/26, 7920/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1698/26, 7920/946

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 1698/26,7920/946

Given fractions are 1698/26,7920/946

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 1698,7920

Greatest Common Factor of Numerators i.e. GCF of 1698,7920 is 6 .

LCM of Denominators means LCM of 26,946 as per the given fractions.

LCM of 26,946 is 12298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1698,7920

GCF of Fractions 1698/26,7920/946 is 6/12298

2 1698, 7920
3 849, 3960
283, 1320

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1698,7920 By Matching Biggest Common Factor Method

Greatest Common Factor of 1698,7920 By Matching Biggest Common Factor Method

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors 1698,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 1698,7920 is 6.

Lets's calculate LCM of 26,946

2 26, 946
13, 473

∴ So the LCM of the given numbers is 2 x 13 x 473 = 12298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/12298

Therefore, the GCF of Fractions 1698/26,7920/946 is 6/12298

Least Common Multiple of 26,946 with GCF Formula

Least Common Multiple of 26,946 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 26,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,946) = 2

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

GCF(26,946) x common factors =2 x 1 = 2

LCM(26,946) = ( 26 × 946 ) / 2

LCM(26,946) = 24596 / 2

LCM(26,946) = 12298


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 1698/26, 7920/946

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 1698/26, 7920/946?

Answer: GCF of Numerators as per given numbers 1698/26, 7920/946 is

GCF of Numerators i.e. for 1698,7920 is 6

LCM of denominators i.e. for 26,946 is 12298.

Thus, GCF of Fractions is 6/12298.Finally, GCF of Fractions for 1698/26, 7920/946 is 6/12298.