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GCF of 862/734, 180/199

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 862/734, 180/199 i.e 2/146066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/734, 180/199.

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 862/734,180/199?

Given fractions are 862/734,180/199

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 862/734,180/199, numerators are 862,180

Denominators are 734,199

The GCF of 862,180 is 2 .

LCM of 734,199 is 146066.

The greatest common factor of 862/734,180/199 = [GCF of 862,180]/[LCM of 734,199]= 2/146066

Therefore, the GCF of 862/734,180/199 is 2/146066.

Greatest Common Factor of 862,180

To find the highest common factor of 862,180, we have to find the factors of both numbers and list the highest common factor.

The factors of 862 are 1, 2, 431, 862

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The HCF of 862,180 is 2.

Lets's calculate GCF of 862,180

Greatest Common Factor (GCF) of 862,180 By Common Division

2 862, 180
431, 90

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

Greatest Common Factor of 862,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,180 By Matching Biggest Common Factor Method

Now, list down the factors of 862

:

1,2,431,862

Now, list down the factors of 180

:

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 862,180 . The biggest common factor number is the GCF number.
So the greatest common factor 862,180 is 2.

Lets's calculate LCM of 734,199

Lowest Common Multiple of 734,199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 146066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146066

Therefore, the GCF of Fractions 862/734,180/199 is 2/146066

Least Common Multiple of 734,199 with GCF Formula

Least Common Multiple of 734,199 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 734,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,199) = 1

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

GCF(734,199) x common factors =1 x 1 = 1

LCM(734,199) = ( 734 × 199 ) / 1

LCM(734,199) = 146066 / 1

LCM(734,199) = 146066


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FAQs on GCF of Fractions of 862/734, 180/199

1. What is the HCF of 862,180?

The HCF of 862,180 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 862/734, 180/199?

Answer: GCF of Numerators as per given numbers 862/734, 180/199 is

GCF of Numerators i.e. for 862,180 is 2

LCM of denominators i.e. for 734,199 is 146066.

Thus, GCF of Fractions is 2/146066.Finally, GCF of Fractions for 862/734, 180/199 is 2/146066.