Greatest Common Factor of 42/800, 852/850, 253/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/800, 852/850, 253/864

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 42/800,852/850,253/864

Given fractions are 42/800,852/850,253/864

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 42,852,253

Greatest Common Factor of Numerators i.e. GCF of 42,852,253 is 1 .

LCM of Denominators means LCM of 800,850,864 as per the given fractions.

LCM of 800,850,864 is 367200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,852,253

GCF of Fractions 42/800,852/850,253/864 is 1/367200

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

Greatest Common Factor of 42,852,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,852,253 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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 42,852,253 . The biggest common factor number is the GCF number.
So the greatest common factor 42,852,253 is 1.

Lets's calculate LCM of 800,850,864

2 800, 850, 864
2 400, 425, 432
2 200, 425, 216
2 100, 425, 108
2 50, 425, 54
5 25, 425, 27
5 5, 85, 27
1, 17, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 1 x 17 x 27 = 367200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367200

Therefore, the GCF of Fractions 42/800,852/850,253/864 is 1/367200

Least Common Multiple of 800,850,864 with GCF Formula

Least Common Multiple of 800,850,864 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 800,850,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,850,864) = 2

common factors(in case of two or more numbers have common factors) = 800

GCF(800,850,864) x common factors =2 x 800 = 1600

LCM(800,850,864) = ( 800 × 850 × 864 ) / 1600

LCM(800,850,864) = 587520000 / 1600

LCM(800,850,864) = 367200


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 42/800, 852/850, 253/864

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 42/800, 852/850, 253/864?

Answer: GCF of Numerators as per given numbers 42/800, 852/850, 253/864 is

GCF of Numerators i.e. for 42,852,253 is 1

LCM of denominators i.e. for 800,850,864 is 367200.

Thus, GCF of Fractions is 1/367200.Finally, GCF of Fractions for 42/800, 852/850, 253/864 is 1/367200.