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 901/167, 941/365

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 901/167, 941/365 i.e 1/60955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/167, 941/365.

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 901/167,941/365?

Given fractions are 901/167,941/365

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 901/167,941/365, numerators are 901,941

Denominators are 167,365

The GCF of 901,941 is 1 .

LCM of 167,365 is 60955.

The greatest common factor of 901/167,941/365 = [GCF of 901,941]/[LCM of 167,365]= 1/60955

Therefore, the GCF of 901/167,941/365 is 1/60955.

Greatest Common Factor of 901,941

To find the highest common factor of 901,941, we have to find the factors of both numbers and list the highest common factor.

The factors of 901 are 1, 17, 53, 901

The factors of 941 are 1, 941

The HCF of 901,941 is 1.

Lets's calculate GCF of 901,941

Greatest Common Factor (GCF) of 901,941 By Common Division

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

Greatest Common Factor of 901,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,941 By Matching Biggest Common Factor Method

Now, list down the factors of 901

:

1,17,53,901

Now, list down the factors of 941

:

1,941

Greatest Common Factor

We found the factors 901,941 . The biggest common factor number is the GCF number.
So the greatest common factor 901,941 is 1.

Lets's calculate LCM of 167,365

Lowest Common Multiple of 167,365 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 60955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60955

Therefore, the GCF of Fractions 901/167,941/365 is 1/60955

Least Common Multiple of 167,365 with GCF Formula

Least Common Multiple of 167,365 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 167,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,365) = 1

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

GCF(167,365) x common factors =1 x 1 = 1

LCM(167,365) = ( 167 × 365 ) / 1

LCM(167,365) = 60955 / 1

LCM(167,365) = 60955


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 901/167, 941/365

1. What is the HCF of 901,941?

The HCF of 901,941 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 901/167, 941/365?

Answer: GCF of Numerators as per given numbers 901/167, 941/365 is

GCF of Numerators i.e. for 901,941 is 1

LCM of denominators i.e. for 167,365 is 60955.

Thus, GCF of Fractions is 1/60955.Finally, GCF of Fractions for 901/167, 941/365 is 1/60955.