Greatest Common Factor of 1484/764, 5487/3466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1484/764, 5487/3466

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 1484/764,5487/3466

Given fractions are 1484/764,5487/3466

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 1484,5487

Greatest Common Factor of Numerators i.e. GCF of 1484,5487 is 1 .

LCM of Denominators means LCM of 764,3466 as per the given fractions.

LCM of 764,3466 is 1324012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1484,5487

GCF of Fractions 1484/764,5487/3466 is 1/1324012

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

Greatest Common Factor of 1484,5487 By Matching Biggest Common Factor Method

Greatest Common Factor of 1484,5487 By Matching Biggest Common Factor Method

Factors of 1484

List of positive integer factors of 1484 that divides 1484 without a remainder.

1,2,4,7,14,28,53,106,212,371,742,1484

Factors of 5487

List of positive integer factors of 5487 that divides 5487 without a remainder.

1,3,31,59,93,177,1829,5487

Greatest Common Factor

We found the factors 1484,5487 . The biggest common factor number is the GCF number.
So the greatest common factor 1484,5487 is 1.

Lets's calculate LCM of 764,3466

2 764, 3466
382, 1733

∴ So the LCM of the given numbers is 2 x 382 x 1733 = 1324012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324012

Therefore, the GCF of Fractions 1484/764,5487/3466 is 1/1324012

Least Common Multiple of 764,3466 with GCF Formula

Least Common Multiple of 764,3466 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 764,3466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,3466) = 2

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

GCF(764,3466) x common factors =2 x 1 = 2

LCM(764,3466) = ( 764 × 3466 ) / 2

LCM(764,3466) = 2648024 / 2

LCM(764,3466) = 1324012


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 1484/764, 5487/3466

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 1484/764, 5487/3466?

Answer: GCF of Numerators as per given numbers 1484/764, 5487/3466 is

GCF of Numerators i.e. for 1484,5487 is 1

LCM of denominators i.e. for 764,3466 is 1324012.

Thus, GCF of Fractions is 1/1324012.Finally, GCF of Fractions for 1484/764, 5487/3466 is 1/1324012.