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GCF of 157/384, 111/266

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 157/384, 111/266 i.e 1/51072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/384, 111/266.

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 157/384,111/266?

Given fractions are 157/384,111/266

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 157/384,111/266, numerators are 157,111

Denominators are 384,266

The GCF of 157,111 is 1 .

LCM of 384,266 is 51072.

The greatest common factor of 157/384,111/266 = [GCF of 157,111]/[LCM of 384,266]= 1/51072

Therefore, the GCF of 157/384,111/266 is 1/51072.

Greatest Common Factor of 157,111

To find the highest common factor of 157,111, we have to find the factors of both numbers and list the highest common factor.

The factors of 157 are 1, 157

The factors of 111 are 1, 3, 37, 111

The HCF of 157,111 is 1.

Lets's calculate GCF of 157,111

Greatest Common Factor (GCF) of 157,111 By Common Division

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

Greatest Common Factor of 157,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,111 By Matching Biggest Common Factor Method

Now, list down the factors of 157

:

1,157

Now, list down the factors of 111

:

1,3,37,111

Greatest Common Factor

We found the factors 157,111 . The biggest common factor number is the GCF number.
So the greatest common factor 157,111 is 1.

Lets's calculate LCM of 384,266

Lowest Common Multiple of 384,266 using Common Division

2 384, 266
192, 133

∴ So the LCM of the given numbers is 2 x 192 x 133 = 51072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51072

Therefore, the GCF of Fractions 157/384,111/266 is 1/51072

Least Common Multiple of 384,266 with GCF Formula

Least Common Multiple of 384,266 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 384,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,266) = 2

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

GCF(384,266) x common factors =2 x 1 = 2

LCM(384,266) = ( 384 × 266 ) / 2

LCM(384,266) = 102144 / 2

LCM(384,266) = 51072


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FAQs on GCF of Fractions of 157/384, 111/266

1. What is the HCF of 157,111?

The HCF of 157,111 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 157/384, 111/266?

Answer: GCF of Numerators as per given numbers 157/384, 111/266 is

GCF of Numerators i.e. for 157,111 is 1

LCM of denominators i.e. for 384,266 is 51072.

Thus, GCF of Fractions is 1/51072.Finally, GCF of Fractions for 157/384, 111/266 is 1/51072.