Greatest Common Factor of 6990/460, 1639/2765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6990/460, 1639/2765

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 6990/460,1639/2765

Given fractions are 6990/460,1639/2765

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 6990,1639

Greatest Common Factor of Numerators i.e. GCF of 6990,1639 is 1 .

LCM of Denominators means LCM of 460,2765 as per the given fractions.

LCM of 460,2765 is 254380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6990,1639

GCF of Fractions 6990/460,1639/2765 is 1/254380

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

Greatest Common Factor of 6990,1639 By Matching Biggest Common Factor Method

Greatest Common Factor of 6990,1639 By Matching Biggest Common Factor Method

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors 6990,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 6990,1639 is 1.

Lets's calculate LCM of 460,2765

5 460, 2765
92, 553

∴ So the LCM of the given numbers is 5 x 92 x 553 = 254380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254380

Therefore, the GCF of Fractions 6990/460,1639/2765 is 1/254380

Least Common Multiple of 460,2765 with GCF Formula

Least Common Multiple of 460,2765 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 460,2765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,2765) = 5

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

GCF(460,2765) x common factors =5 x 1 = 5

LCM(460,2765) = ( 460 × 2765 ) / 5

LCM(460,2765) = 1271900 / 5

LCM(460,2765) = 254380


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 6990/460, 1639/2765

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 6990/460, 1639/2765?

Answer: GCF of Numerators as per given numbers 6990/460, 1639/2765 is

GCF of Numerators i.e. for 6990,1639 is 1

LCM of denominators i.e. for 460,2765 is 254380.

Thus, GCF of Fractions is 1/254380.Finally, GCF of Fractions for 6990/460, 1639/2765 is 1/254380.