Greatest Common Factor of 97/86, 882/50, 120/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/86, 882/50, 120/345

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 97/86,882/50,120/345

Given fractions are 97/86,882/50,120/345

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 97,882,120

Greatest Common Factor of Numerators i.e. GCF of 97,882,120 is 1 .

LCM of Denominators means LCM of 86,50,345 as per the given fractions.

LCM of 86,50,345 is 148350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,882,120

GCF of Fractions 97/86,882/50,120/345 is 1/148350

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

Greatest Common Factor of 97,882,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,882,120 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 97,882,120 . The biggest common factor number is the GCF number.
So the greatest common factor 97,882,120 is 1.

Lets's calculate LCM of 86,50,345

2 86, 50, 345
5 43, 25, 345
43, 5, 69

∴ So the LCM of the given numbers is 2 x 5 x 43 x 5 x 69 = 148350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148350

Therefore, the GCF of Fractions 97/86,882/50,120/345 is 1/148350

Least Common Multiple of 86,50,345 with GCF Formula

Least Common Multiple of 86,50,345 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 86,50,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,50,345) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(86,50,345) x common factors =1 x 10 = 10

LCM(86,50,345) = ( 86 × 50 × 345 ) / 10

LCM(86,50,345) = 1483500 / 10

LCM(86,50,345) = 148350


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 97/86, 882/50, 120/345

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 97/86, 882/50, 120/345?

Answer: GCF of Numerators as per given numbers 97/86, 882/50, 120/345 is

GCF of Numerators i.e. for 97,882,120 is 1

LCM of denominators i.e. for 86,50,345 is 148350.

Thus, GCF of Fractions is 1/148350.Finally, GCF of Fractions for 97/86, 882/50, 120/345 is 1/148350.