Greatest Common Factor of 80/47, 98/205, 965/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/47, 98/205, 965/242

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 80/47,98/205,965/242

Given fractions are 80/47,98/205,965/242

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 80,98,965

Greatest Common Factor of Numerators i.e. GCF of 80,98,965 is 1 .

LCM of Denominators means LCM of 47,205,242 as per the given fractions.

LCM of 47,205,242 is 2331670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,98,965

GCF of Fractions 80/47,98/205,965/242 is 1/2331670

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

Greatest Common Factor of 80,98,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,98,965 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 80,98,965 . The biggest common factor number is the GCF number.
So the greatest common factor 80,98,965 is 1.

Lets's calculate LCM of 47,205,242

Given numbers has no common factors except 1. So, there LCM is their product i.e 2331670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2331670

Therefore, the GCF of Fractions 80/47,98/205,965/242 is 1/2331670

Least Common Multiple of 47,205,242 with GCF Formula

Least Common Multiple of 47,205,242 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 47,205,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,205,242) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,205,242) x common factors =1 x 1 = 1

LCM(47,205,242) = ( 47 × 205 × 242 ) / 1

LCM(47,205,242) = 2331670 / 1

LCM(47,205,242) = 2331670


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 80/47, 98/205, 965/242

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 80/47, 98/205, 965/242?

Answer: GCF of Numerators as per given numbers 80/47, 98/205, 965/242 is

GCF of Numerators i.e. for 80,98,965 is 1

LCM of denominators i.e. for 47,205,242 is 2331670.

Thus, GCF of Fractions is 1/2331670.Finally, GCF of Fractions for 80/47, 98/205, 965/242 is 1/2331670.