Greatest Common Factor of 3460/902, 6366/7374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3460/902, 6366/7374

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 3460/902,6366/7374

Given fractions are 3460/902,6366/7374

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 3460,6366

Greatest Common Factor of Numerators i.e. GCF of 3460,6366 is 2 .

LCM of Denominators means LCM of 902,7374 as per the given fractions.

LCM of 902,7374 is 3325674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3460,6366

GCF of Fractions 3460/902,6366/7374 is 2/3325674

2 3460, 6366
1730, 3183

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3460,6366 By Matching Biggest Common Factor Method

Greatest Common Factor of 3460,6366 By Matching Biggest Common Factor Method

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1,2,3,6,1061,2122,3183,6366

Greatest Common Factor

We found the factors 3460,6366 . The biggest common factor number is the GCF number.
So the greatest common factor 3460,6366 is 2.

Lets's calculate LCM of 902,7374

2 902, 7374
451, 3687

∴ So the LCM of the given numbers is 2 x 451 x 3687 = 3325674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3325674

Therefore, the GCF of Fractions 3460/902,6366/7374 is 2/3325674

Least Common Multiple of 902,7374 with GCF Formula

Least Common Multiple of 902,7374 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 902,7374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,7374) = 2

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

GCF(902,7374) x common factors =2 x 1 = 2

LCM(902,7374) = ( 902 × 7374 ) / 2

LCM(902,7374) = 6651348 / 2

LCM(902,7374) = 3325674


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 3460/902, 6366/7374

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 3460/902, 6366/7374?

Answer: GCF of Numerators as per given numbers 3460/902, 6366/7374 is

GCF of Numerators i.e. for 3460,6366 is 2

LCM of denominators i.e. for 902,7374 is 3325674.

Thus, GCF of Fractions is 2/3325674.Finally, GCF of Fractions for 3460/902, 6366/7374 is 2/3325674.