Greatest Common Factor of 442/465, 754/166, 883/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/465, 754/166, 883/596

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 442/465,754/166,883/596

Given fractions are 442/465,754/166,883/596

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 442,754,883

Greatest Common Factor of Numerators i.e. GCF of 442,754,883 is 1 .

LCM of Denominators means LCM of 465,166,596 as per the given fractions.

LCM of 465,166,596 is 23002620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,754,883

GCF of Fractions 442/465,754/166,883/596 is 1/23002620

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

Greatest Common Factor of 442,754,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,754,883 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 442,754,883 . The biggest common factor number is the GCF number.
So the greatest common factor 442,754,883 is 1.

Lets's calculate LCM of 465,166,596

2 465, 166, 596
465, 83, 298

∴ So the LCM of the given numbers is 2 x 465 x 83 x 298 = 23002620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23002620

Therefore, the GCF of Fractions 442/465,754/166,883/596 is 1/23002620

Least Common Multiple of 465,166,596 with GCF Formula

Least Common Multiple of 465,166,596 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 465,166,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,166,596) = 1

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

GCF(465,166,596) x common factors =1 x 2 = 2

LCM(465,166,596) = ( 465 × 166 × 596 ) / 2

LCM(465,166,596) = 46005240 / 2

LCM(465,166,596) = 23002620


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 442/465, 754/166, 883/596

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 442/465, 754/166, 883/596?

Answer: GCF of Numerators as per given numbers 442/465, 754/166, 883/596 is

GCF of Numerators i.e. for 442,754,883 is 1

LCM of denominators i.e. for 465,166,596 is 23002620.

Thus, GCF of Fractions is 1/23002620.Finally, GCF of Fractions for 442/465, 754/166, 883/596 is 1/23002620.