Greatest Common Factor of 62/240, 345/711, 841/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/240, 345/711, 841/874

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 62/240,345/711,841/874

Given fractions are 62/240,345/711,841/874

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 62,345,841

Greatest Common Factor of Numerators i.e. GCF of 62,345,841 is 1 .

LCM of Denominators means LCM of 240,711,874 as per the given fractions.

LCM of 240,711,874 is 24856560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,345,841

GCF of Fractions 62/240,345/711,841/874 is 1/24856560

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

Greatest Common Factor of 62,345,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,345,841 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 62,345,841 . The biggest common factor number is the GCF number.
So the greatest common factor 62,345,841 is 1.

Lets's calculate LCM of 240,711,874

2 240, 711, 874
3 120, 711, 437
40, 237, 437

∴ So the LCM of the given numbers is 2 x 3 x 40 x 237 x 437 = 24856560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24856560

Therefore, the GCF of Fractions 62/240,345/711,841/874 is 1/24856560

Least Common Multiple of 240,711,874 with GCF Formula

Least Common Multiple of 240,711,874 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 240,711,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,711,874) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(240,711,874) x common factors =1 x 6 = 6

LCM(240,711,874) = ( 240 × 711 × 874 ) / 6

LCM(240,711,874) = 149139360 / 6

LCM(240,711,874) = 24856560


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 62/240, 345/711, 841/874

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 62/240, 345/711, 841/874?

Answer: GCF of Numerators as per given numbers 62/240, 345/711, 841/874 is

GCF of Numerators i.e. for 62,345,841 is 1

LCM of denominators i.e. for 240,711,874 is 24856560.

Thus, GCF of Fractions is 1/24856560.Finally, GCF of Fractions for 62/240, 345/711, 841/874 is 1/24856560.