Greatest Common Factor of 397/97, 4684/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/97, 4684/850

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 397/97,4684/850

Given fractions are 397/97,4684/850

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 397,4684

Greatest Common Factor of Numerators i.e. GCF of 397,4684 is 1 .

LCM of Denominators means LCM of 97,850 as per the given fractions.

LCM of 97,850 is 82450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,4684

GCF of Fractions 397/97,4684/850 is 1/82450

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

Greatest Common Factor of 397,4684 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,4684 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 4684

List of positive integer factors of 4684 that divides 4684 without a remainder.

1,2,4,1171,2342,4684

Greatest Common Factor

We found the factors 397,4684 . The biggest common factor number is the GCF number.
So the greatest common factor 397,4684 is 1.

Lets's calculate LCM of 97,850

Given numbers has no common factors except 1. So, there LCM is their product i.e 82450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82450

Therefore, the GCF of Fractions 397/97,4684/850 is 1/82450

Least Common Multiple of 97,850 with GCF Formula

Least Common Multiple of 97,850 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 97,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,850) = 1

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

GCF(97,850) x common factors =1 x 1 = 1

LCM(97,850) = ( 97 × 850 ) / 1

LCM(97,850) = 82450 / 1

LCM(97,850) = 82450


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 397/97, 4684/850

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 397/97, 4684/850?

Answer: GCF of Numerators as per given numbers 397/97, 4684/850 is

GCF of Numerators i.e. for 397,4684 is 1

LCM of denominators i.e. for 97,850 is 82450.

Thus, GCF of Fractions is 1/82450.Finally, GCF of Fractions for 397/97, 4684/850 is 1/82450.