Greatest Common Factor of 3426/515, 3858/3320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3426/515, 3858/3320

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 3426/515,3858/3320

Given fractions are 3426/515,3858/3320

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 3426,3858

Greatest Common Factor of Numerators i.e. GCF of 3426,3858 is 6 .

LCM of Denominators means LCM of 515,3320 as per the given fractions.

LCM of 515,3320 is 341960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3426,3858

GCF of Fractions 3426/515,3858/3320 is 6/341960

2 3426, 3858
3 1713, 1929
571, 643

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3426,3858 By Matching Biggest Common Factor Method

Greatest Common Factor of 3426,3858 By Matching Biggest Common Factor Method

Factors of 3426

List of positive integer factors of 3426 that divides 3426 without a remainder.

1,2,3,6,571,1142,1713,3426

Factors of 3858

List of positive integer factors of 3858 that divides 3858 without a remainder.

1,2,3,6,643,1286,1929,3858

Greatest Common Factor

We found the factors 3426,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 3426,3858 is 6.

Lets's calculate LCM of 515,3320

5 515, 3320
103, 664

∴ So the LCM of the given numbers is 5 x 103 x 664 = 341960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/341960

Therefore, the GCF of Fractions 3426/515,3858/3320 is 6/341960

Least Common Multiple of 515,3320 with GCF Formula

Least Common Multiple of 515,3320 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 515,3320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,3320) = 5

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

GCF(515,3320) x common factors =5 x 1 = 5

LCM(515,3320) = ( 515 × 3320 ) / 5

LCM(515,3320) = 1709800 / 5

LCM(515,3320) = 341960


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 3426/515, 3858/3320

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 3426/515, 3858/3320?

Answer: GCF of Numerators as per given numbers 3426/515, 3858/3320 is

GCF of Numerators i.e. for 3426,3858 is 6

LCM of denominators i.e. for 515,3320 is 341960.

Thus, GCF of Fractions is 6/341960.Finally, GCF of Fractions for 3426/515, 3858/3320 is 6/341960.