Greatest Common Factor of 1764/26, 3647/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1764/26, 3647/503

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 1764/26,3647/503

Given fractions are 1764/26,3647/503

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 1764,3647

Greatest Common Factor of Numerators i.e. GCF of 1764,3647 is 7 .

LCM of Denominators means LCM of 26,503 as per the given fractions.

LCM of 26,503 is 13078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1764,3647

GCF of Fractions 1764/26,3647/503 is 7/13078

7 1764, 3647
252, 521

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1764,3647 By Matching Biggest Common Factor Method

Greatest Common Factor of 1764,3647 By Matching Biggest Common Factor Method

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Greatest Common Factor

We found the factors 1764,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 1764,3647 is 7.

Lets's calculate LCM of 26,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 13078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/13078

Therefore, the GCF of Fractions 1764/26,3647/503 is 7/13078

Least Common Multiple of 26,503 with GCF Formula

Least Common Multiple of 26,503 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 26,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,503) = 1

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

GCF(26,503) x common factors =1 x 1 = 1

LCM(26,503) = ( 26 × 503 ) / 1

LCM(26,503) = 13078 / 1

LCM(26,503) = 13078


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 1764/26, 3647/503

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 1764/26, 3647/503?

Answer: GCF of Numerators as per given numbers 1764/26, 3647/503 is

GCF of Numerators i.e. for 1764,3647 is 7

LCM of denominators i.e. for 26,503 is 13078.

Thus, GCF of Fractions is 7/13078.Finally, GCF of Fractions for 1764/26, 3647/503 is 7/13078.