Greatest Common Factor of 3473/413, 7468/3871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3473/413, 7468/3871

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 3473/413,7468/3871

Given fractions are 3473/413,7468/3871

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 3473,7468

Greatest Common Factor of Numerators i.e. GCF of 3473,7468 is 1 .

LCM of Denominators means LCM of 413,3871 as per the given fractions.

LCM of 413,3871 is 228389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3473,7468

GCF of Fractions 3473/413,7468/3871 is 1/228389

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

Greatest Common Factor of 3473,7468 By Matching Biggest Common Factor Method

Greatest Common Factor of 3473,7468 By Matching Biggest Common Factor Method

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1,23,151,3473

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

Greatest Common Factor

We found the factors 3473,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 3473,7468 is 1.

Lets's calculate LCM of 413,3871

7 413, 3871
59, 553

∴ So the LCM of the given numbers is 7 x 59 x 553 = 228389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228389

Therefore, the GCF of Fractions 3473/413,7468/3871 is 1/228389

Least Common Multiple of 413,3871 with GCF Formula

Least Common Multiple of 413,3871 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 413,3871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,3871) = 7

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

GCF(413,3871) x common factors =7 x 1 = 7

LCM(413,3871) = ( 413 × 3871 ) / 7

LCM(413,3871) = 1598723 / 7

LCM(413,3871) = 228389


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 3473/413, 7468/3871

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 3473/413, 7468/3871?

Answer: GCF of Numerators as per given numbers 3473/413, 7468/3871 is

GCF of Numerators i.e. for 3473,7468 is 1

LCM of denominators i.e. for 413,3871 is 228389.

Thus, GCF of Fractions is 1/228389.Finally, GCF of Fractions for 3473/413, 7468/3871 is 1/228389.