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GCF of 836/167, 8081/180

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 836/167, 8081/180 i.e 1/30060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/167, 8081/180.

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 836/167,8081/180?

Given fractions are 836/167,8081/180

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 836/167,8081/180, numerators are 836,8081

Denominators are 167,180

The GCF of 836,8081 is 1 .

LCM of 167,180 is 30060.

The greatest common factor of 836/167,8081/180 = [GCF of 836,8081]/[LCM of 167,180]= 1/30060

Therefore, the GCF of 836/167,8081/180 is 1/30060.

Greatest Common Factor of 836,8081

To find the highest common factor of 836,8081, we have to find the factors of both numbers and list the highest common factor.

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The factors of 8081 are 1, 8081

The HCF of 836,8081 is 1.

Lets's calculate GCF of 836,8081

Greatest Common Factor (GCF) of 836,8081 By Common Division

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

Greatest Common Factor of 836,8081 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,8081 By Matching Biggest Common Factor Method

Now, list down the factors of 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 8081

:

1,8081

Greatest Common Factor

We found the factors 836,8081 . The biggest common factor number is the GCF number.
So the greatest common factor 836,8081 is 1.

Lets's calculate LCM of 167,180

Lowest Common Multiple of 167,180 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30060

Therefore, the GCF of Fractions 836/167,8081/180 is 1/30060

Least Common Multiple of 167,180 with GCF Formula

Least Common Multiple of 167,180 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 167,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,180) = 1

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

GCF(167,180) x common factors =1 x 1 = 1

LCM(167,180) = ( 167 × 180 ) / 1

LCM(167,180) = 30060 / 1

LCM(167,180) = 30060


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FAQs on GCF of Fractions of 836/167, 8081/180

1. What is the HCF of 836,8081?

The HCF of 836,8081 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 836/167, 8081/180?

Answer: GCF of Numerators as per given numbers 836/167, 8081/180 is

GCF of Numerators i.e. for 836,8081 is 1

LCM of denominators i.e. for 167,180 is 30060.

Thus, GCF of Fractions is 1/30060.Finally, GCF of Fractions for 836/167, 8081/180 is 1/30060.