Greatest Common Factor of 3361/867, 5065/7820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3361/867, 5065/7820

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 3361/867,5065/7820

Given fractions are 3361/867,5065/7820

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 3361,5065

Greatest Common Factor of Numerators i.e. GCF of 3361,5065 is 1 .

LCM of Denominators means LCM of 867,7820 as per the given fractions.

LCM of 867,7820 is 398820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3361,5065

GCF of Fractions 3361/867,5065/7820 is 1/398820

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

Greatest Common Factor of 3361,5065 By Matching Biggest Common Factor Method

Greatest Common Factor of 3361,5065 By Matching Biggest Common Factor Method

Factors of 3361

List of positive integer factors of 3361 that divides 3361 without a remainder.

1,3361

Factors of 5065

List of positive integer factors of 5065 that divides 5065 without a remainder.

1,5,1013,5065

Greatest Common Factor

We found the factors 3361,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 3361,5065 is 1.

Lets's calculate LCM of 867,7820

17 867, 7820
51, 460

∴ So the LCM of the given numbers is 17 x 51 x 460 = 398820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398820

Therefore, the GCF of Fractions 3361/867,5065/7820 is 1/398820

Least Common Multiple of 867,7820 with GCF Formula

Least Common Multiple of 867,7820 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 867,7820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,7820) = 17

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

GCF(867,7820) x common factors =17 x 1 = 17

LCM(867,7820) = ( 867 × 7820 ) / 17

LCM(867,7820) = 6779940 / 17

LCM(867,7820) = 398820


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 3361/867, 5065/7820

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 3361/867, 5065/7820?

Answer: GCF of Numerators as per given numbers 3361/867, 5065/7820 is

GCF of Numerators i.e. for 3361,5065 is 1

LCM of denominators i.e. for 867,7820 is 398820.

Thus, GCF of Fractions is 1/398820.Finally, GCF of Fractions for 3361/867, 5065/7820 is 1/398820.