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GCF of 203/364, 1201/922

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 203/364, 1201/922 i.e 1/167804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 203/364, 1201/922.

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 203/364,1201/922?

Given fractions are 203/364,1201/922

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 203/364,1201/922, numerators are 203,1201

Denominators are 364,922

The GCF of 203,1201 is 1 .

LCM of 364,922 is 167804.

The greatest common factor of 203/364,1201/922 = [GCF of 203,1201]/[LCM of 364,922]= 1/167804

Therefore, the GCF of 203/364,1201/922 is 1/167804.

Greatest Common Factor of 203,1201

To find the highest common factor of 203,1201, we have to find the factors of both numbers and list the highest common factor.

The factors of 203 are 1, 7, 29, 203

The factors of 1201 are 1, 1201

The HCF of 203,1201 is 1.

Lets's calculate GCF of 203,1201

Greatest Common Factor (GCF) of 203,1201 By Common Division

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

Greatest Common Factor of 203,1201 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,1201 By Matching Biggest Common Factor Method

Now, list down the factors of 203

:

1,7,29,203

Now, list down the factors of 1201

:

1,1201

Greatest Common Factor

We found the factors 203,1201 . The biggest common factor number is the GCF number.
So the greatest common factor 203,1201 is 1.

Lets's calculate LCM of 364,922

Lowest Common Multiple of 364,922 using Common Division

2 364, 922
182, 461

∴ So the LCM of the given numbers is 2 x 182 x 461 = 167804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167804

Therefore, the GCF of Fractions 203/364,1201/922 is 1/167804

Least Common Multiple of 364,922 with GCF Formula

Least Common Multiple of 364,922 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 364,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,922) = 2

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

GCF(364,922) x common factors =2 x 1 = 2

LCM(364,922) = ( 364 × 922 ) / 2

LCM(364,922) = 335608 / 2

LCM(364,922) = 167804


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FAQs on GCF of Fractions of 203/364, 1201/922

1. What is the HCF of 203,1201?

The HCF of 203,1201 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 203/364, 1201/922?

Answer: GCF of Numerators as per given numbers 203/364, 1201/922 is

GCF of Numerators i.e. for 203,1201 is 1

LCM of denominators i.e. for 364,922 is 167804.

Thus, GCF of Fractions is 1/167804.Finally, GCF of Fractions for 203/364, 1201/922 is 1/167804.