Greatest Common Factor of 42/946, 499/985, 722/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/946, 499/985, 722/618

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 42/946,499/985,722/618

Given fractions are 42/946,499/985,722/618

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 42,499,722

Greatest Common Factor of Numerators i.e. GCF of 42,499,722 is 1 .

LCM of Denominators means LCM of 946,985,618 as per the given fractions.

LCM of 946,985,618 is 287929290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,499,722

GCF of Fractions 42/946,499/985,722/618 is 1/287929290

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

Greatest Common Factor of 42,499,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,499,722 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 42,499,722 . The biggest common factor number is the GCF number.
So the greatest common factor 42,499,722 is 1.

Lets's calculate LCM of 946,985,618

2 946, 985, 618
473, 985, 309

∴ So the LCM of the given numbers is 2 x 473 x 985 x 309 = 287929290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287929290

Therefore, the GCF of Fractions 42/946,499/985,722/618 is 1/287929290

Least Common Multiple of 946,985,618 with GCF Formula

Least Common Multiple of 946,985,618 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 946,985,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,985,618) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(946,985,618) x common factors =1 x 2 = 2

LCM(946,985,618) = ( 946 × 985 × 618 ) / 2

LCM(946,985,618) = 575858580 / 2

LCM(946,985,618) = 287929290


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 42/946, 499/985, 722/618

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 42/946, 499/985, 722/618?

Answer: GCF of Numerators as per given numbers 42/946, 499/985, 722/618 is

GCF of Numerators i.e. for 42,499,722 is 1

LCM of denominators i.e. for 946,985,618 is 287929290.

Thus, GCF of Fractions is 1/287929290.Finally, GCF of Fractions for 42/946, 499/985, 722/618 is 1/287929290.