Greatest Common Factor of 1804/17, 2460/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1804/17, 2460/651

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 1804/17,2460/651

Given fractions are 1804/17,2460/651

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 1804,2460

Greatest Common Factor of Numerators i.e. GCF of 1804,2460 is 164 .

LCM of Denominators means LCM of 17,651 as per the given fractions.

LCM of 17,651 is 11067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1804,2460

GCF of Fractions 1804/17,2460/651 is 164/11067

2 1804, 2460
2 902, 1230
41 451, 615
11, 15

∴ So the GCF of the given numbers is 2 x 2 x 41 = 164

Greatest Common Factor of 1804,2460 By Matching Biggest Common Factor Method

Greatest Common Factor of 1804,2460 By Matching Biggest Common Factor Method

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1,2,4,11,22,41,44,82,164,451,902,1804

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460

Greatest Common Factor

We found the factors 1804,2460 . The biggest common factor number is the GCF number.
So the greatest common factor 1804,2460 is 164.

Lets's calculate LCM of 17,651

Given numbers has no common factors except 1. So, there LCM is their product i.e 11067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 164/11067

Therefore, the GCF of Fractions 1804/17,2460/651 is 164/11067

Least Common Multiple of 17,651 with GCF Formula

Least Common Multiple of 17,651 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 17,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,651) = 1

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

GCF(17,651) x common factors =1 x 1 = 1

LCM(17,651) = ( 17 × 651 ) / 1

LCM(17,651) = 11067 / 1

LCM(17,651) = 11067


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 1804/17, 2460/651

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 1804/17, 2460/651?

Answer: GCF of Numerators as per given numbers 1804/17, 2460/651 is

GCF of Numerators i.e. for 1804,2460 is 164

LCM of denominators i.e. for 17,651 is 11067.

Thus, GCF of Fractions is 164/11067.Finally, GCF of Fractions for 1804/17, 2460/651 is 164/11067.