Greatest Common Factor of 842/78, 419/7749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 842/78, 419/7749

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 842/78,419/7749

Given fractions are 842/78,419/7749

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 842,419

Greatest Common Factor of Numerators i.e. GCF of 842,419 is 1 .

LCM of Denominators means LCM of 78,7749 as per the given fractions.

LCM of 78,7749 is 201474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 842,419

GCF of Fractions 842/78,419/7749 is 1/201474

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

Greatest Common Factor of 842,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,419 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 842,419 . The biggest common factor number is the GCF number.
So the greatest common factor 842,419 is 1.

Lets's calculate LCM of 78,7749

3 78, 7749
26, 2583

∴ So the LCM of the given numbers is 3 x 26 x 2583 = 201474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201474

Therefore, the GCF of Fractions 842/78,419/7749 is 1/201474

Least Common Multiple of 78,7749 with GCF Formula

Least Common Multiple of 78,7749 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 78,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7749) = 3

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

GCF(78,7749) x common factors =3 x 1 = 3

LCM(78,7749) = ( 78 × 7749 ) / 3

LCM(78,7749) = 604422 / 3

LCM(78,7749) = 201474


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 842/78, 419/7749

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 842/78, 419/7749?

Answer: GCF of Numerators as per given numbers 842/78, 419/7749 is

GCF of Numerators i.e. for 842,419 is 1

LCM of denominators i.e. for 78,7749 is 201474.

Thus, GCF of Fractions is 1/201474.Finally, GCF of Fractions for 842/78, 419/7749 is 1/201474.