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 198/86, 140/581

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 198/86, 140/581 i.e 2/49966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 198/86, 140/581.

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 198/86,140/581?

Given fractions are 198/86,140/581

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 198/86,140/581, numerators are 198,140

Denominators are 86,581

The GCF of 198,140 is 2 .

LCM of 86,581 is 49966.

The greatest common factor of 198/86,140/581 = [GCF of 198,140]/[LCM of 86,581]= 2/49966

Therefore, the GCF of 198/86,140/581 is 2/49966.

Greatest Common Factor of 198,140

To find the highest common factor of 198,140, we have to find the factors of both numbers and list the highest common factor.

The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The HCF of 198,140 is 2.

Lets's calculate GCF of 198,140

Greatest Common Factor (GCF) of 198,140 By Common Division

2 198, 140
99, 70

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 198,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,140 By Matching Biggest Common Factor Method

Now, list down the factors of 198

:

1,2,3,6,9,11,18,22,33,66,99,198

Now, list down the factors of 140

:

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 198,140 . The biggest common factor number is the GCF number.
So the greatest common factor 198,140 is 2.


Lets's calculate LCM of 86,581

Lowest Common Multiple of 86,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49966

Therefore, the GCF of Fractions 198/86,140/581 is 2/49966

Least Common Multiple of 86,581 with GCF Formula

Least Common Multiple of 86,581 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 86,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,581) = 1

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

GCF(86,581) x common factors =1 x 1 = 1

LCM(86,581) = ( 86 × 581 ) / 1

LCM(86,581) = 49966 / 1

LCM(86,581) = 49966


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 198/86, 140/581

1. What is the HCF of 198,140?

The HCF of 198,140 is 2

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 198/86, 140/581?

Answer: GCF of Numerators as per given numbers 198/86, 140/581 is

GCF of Numerators i.e. for 198,140 is 2

LCM of denominators i.e. for 86,581 is 49966.

Thus, GCF of Fractions is 2/49966.Finally, GCF of Fractions for 198/86, 140/581 is 2/49966.