Greatest Common Factor of 3453/748, 2064/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3453/748, 2064/670

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 3453/748,2064/670

Given fractions are 3453/748,2064/670

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 3453,2064

Greatest Common Factor of Numerators i.e. GCF of 3453,2064 is 3 .

LCM of Denominators means LCM of 748,670 as per the given fractions.

LCM of 748,670 is 250580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3453,2064

GCF of Fractions 3453/748,2064/670 is 3/250580

3 3453, 2064
1151, 688

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3453,2064 By Matching Biggest Common Factor Method

Greatest Common Factor of 3453,2064 By Matching Biggest Common Factor Method

Factors of 3453

List of positive integer factors of 3453 that divides 3453 without a remainder.

1,3,1151,3453

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064

Greatest Common Factor

We found the factors 3453,2064 . The biggest common factor number is the GCF number.
So the greatest common factor 3453,2064 is 3.

Lets's calculate LCM of 748,670

2 748, 670
374, 335

∴ So the LCM of the given numbers is 2 x 374 x 335 = 250580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/250580

Therefore, the GCF of Fractions 3453/748,2064/670 is 3/250580

Least Common Multiple of 748,670 with GCF Formula

Least Common Multiple of 748,670 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 748,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,670) = 2

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

GCF(748,670) x common factors =2 x 1 = 2

LCM(748,670) = ( 748 × 670 ) / 2

LCM(748,670) = 501160 / 2

LCM(748,670) = 250580


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 3453/748, 2064/670

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 3453/748, 2064/670?

Answer: GCF of Numerators as per given numbers 3453/748, 2064/670 is

GCF of Numerators i.e. for 3453,2064 is 3

LCM of denominators i.e. for 748,670 is 250580.

Thus, GCF of Fractions is 3/250580.Finally, GCF of Fractions for 3453/748, 2064/670 is 3/250580.