Greatest Common Factor of 985/90, 411/90, 234/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 985/90, 411/90, 234/196

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 985/90,411/90,234/196

Given fractions are 985/90,411/90,234/196

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 985,411,234

Greatest Common Factor of Numerators i.e. GCF of 985,411,234 is 1 .

LCM of Denominators means LCM of 90,90,196 as per the given fractions.

LCM of 90,90,196 is 8820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 985,411,234

GCF of Fractions 985/90,411/90,234/196 is 1/8820

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

Greatest Common Factor of 985,411,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,411,234 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 985,411,234 . The biggest common factor number is the GCF number.
So the greatest common factor 985,411,234 is 1.

Lets's calculate LCM of 90,90,196

2 90, 90, 196
3 45, 45, 98
3 15, 15, 98
5 5, 5, 98
1, 1, 98

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 98 = 8820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8820

Therefore, the GCF of Fractions 985/90,411/90,234/196 is 1/8820

Least Common Multiple of 90,90,196 with GCF Formula

Least Common Multiple of 90,90,196 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 90,90,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,90,196) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(90,90,196) x common factors =2 x 90 = 180

LCM(90,90,196) = ( 90 × 90 × 196 ) / 180

LCM(90,90,196) = 1587600 / 180

LCM(90,90,196) = 8820


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 985/90, 411/90, 234/196

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 985/90, 411/90, 234/196?

Answer: GCF of Numerators as per given numbers 985/90, 411/90, 234/196 is

GCF of Numerators i.e. for 985,411,234 is 1

LCM of denominators i.e. for 90,90,196 is 8820.

Thus, GCF of Fractions is 1/8820.Finally, GCF of Fractions for 985/90, 411/90, 234/196 is 1/8820.