Greatest Common Factor of 85/20, 25/42, 208/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/20, 25/42, 208/411

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 85/20,25/42,208/411

Given fractions are 85/20,25/42,208/411

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 85,25,208

Greatest Common Factor of Numerators i.e. GCF of 85,25,208 is 1 .

LCM of Denominators means LCM of 20,42,411 as per the given fractions.

LCM of 20,42,411 is 57540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,25,208

GCF of Fractions 85/20,25/42,208/411 is 1/57540

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

Greatest Common Factor of 85,25,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,25,208 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 85,25,208 . The biggest common factor number is the GCF number.
So the greatest common factor 85,25,208 is 1.

Lets's calculate LCM of 20,42,411

2 20, 42, 411
3 10, 21, 411
10, 7, 137

∴ So the LCM of the given numbers is 2 x 3 x 10 x 7 x 137 = 57540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57540

Therefore, the GCF of Fractions 85/20,25/42,208/411 is 1/57540

Least Common Multiple of 20,42,411 with GCF Formula

Least Common Multiple of 20,42,411 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 20,42,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,42,411) = 1

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

GCF(20,42,411) x common factors =1 x 6 = 6

LCM(20,42,411) = ( 20 × 42 × 411 ) / 6

LCM(20,42,411) = 345240 / 6

LCM(20,42,411) = 57540


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 85/20, 25/42, 208/411

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 85/20, 25/42, 208/411?

Answer: GCF of Numerators as per given numbers 85/20, 25/42, 208/411 is

GCF of Numerators i.e. for 85,25,208 is 1

LCM of denominators i.e. for 20,42,411 is 57540.

Thus, GCF of Fractions is 1/57540.Finally, GCF of Fractions for 85/20, 25/42, 208/411 is 1/57540.