LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 4397/101, 8159/984

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4397/101, 8159/984 i.e 1/99384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4397/101, 8159/984.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4397/101,8159/984?

Given fractions are 4397/101,8159/984

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4397/101,8159/984, numerators are 4397,8159

Denominators are 101,984

The GCF of 4397,8159 is 1 .

LCM of 101,984 is 99384.

The greatest common factor of 4397/101,8159/984 = [GCF of 4397,8159]/[LCM of 101,984]= 1/99384

Therefore, the GCF of 4397/101,8159/984 is 1/99384.

Greatest Common Factor of 4397,8159

To find the highest common factor of 4397,8159, we have to find the factors of both numbers and list the highest common factor.

The factors of 4397 are 1, 4397

The factors of 8159 are 1, 41, 199, 8159

The HCF of 4397,8159 is 1.

Lets's calculate GCF of 4397,8159

Greatest Common Factor (GCF) of 4397,8159 By Common Division

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

Greatest Common Factor of 4397,8159 By Matching Biggest Common Factor Method

Greatest Common Factor of 4397,8159 By Matching Biggest Common Factor Method

Now, list down the factors of 4397

:

1,4397

Now, list down the factors of 8159

:

1,41,199,8159

Greatest Common Factor

We found the factors 4397,8159 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,8159 is 1.

Lets's calculate LCM of 101,984

Lowest Common Multiple of 101,984 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 99384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99384

Therefore, the GCF of Fractions 4397/101,8159/984 is 1/99384

Least Common Multiple of 101,984 with GCF Formula

Least Common Multiple of 101,984 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 101,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,984) = 1

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

GCF(101,984) x common factors =1 x 1 = 1

LCM(101,984) = ( 101 × 984 ) / 1

LCM(101,984) = 99384 / 1

LCM(101,984) = 99384


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4397/101, 8159/984

1. What is the HCF of 4397,8159?

The HCF of 4397,8159 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4397/101, 8159/984?

Answer: GCF of Numerators as per given numbers 4397/101, 8159/984 is

GCF of Numerators i.e. for 4397,8159 is 1

LCM of denominators i.e. for 101,984 is 99384.

Thus, GCF of Fractions is 1/99384.Finally, GCF of Fractions for 4397/101, 8159/984 is 1/99384.