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GCF of 151/64, 723/186

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 151/64, 723/186 i.e 1/5952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 151/64, 723/186.

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 151/64,723/186?

Given fractions are 151/64,723/186

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 151/64,723/186, numerators are 151,723

Denominators are 64,186

The GCF of 151,723 is 1 .

LCM of 64,186 is 5952.

The greatest common factor of 151/64,723/186 = [GCF of 151,723]/[LCM of 64,186]= 1/5952

Therefore, the GCF of 151/64,723/186 is 1/5952.

Greatest Common Factor of 151,723

To find the highest common factor of 151,723, we have to find the factors of both numbers and list the highest common factor.

The factors of 151 are 1, 151

The factors of 723 are 1, 3, 241, 723

The HCF of 151,723 is 1.

Lets's calculate GCF of 151,723

Greatest Common Factor (GCF) of 151,723 By Common Division

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

Greatest Common Factor of 151,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,723 By Matching Biggest Common Factor Method

Now, list down the factors of 151

:

1,151

Now, list down the factors of 723

:

1,3,241,723

Greatest Common Factor

We found the factors 151,723 . The biggest common factor number is the GCF number.
So the greatest common factor 151,723 is 1.

Lets's calculate LCM of 64,186

Lowest Common Multiple of 64,186 using Common Division

2 64, 186
32, 93

∴ So the LCM of the given numbers is 2 x 32 x 93 = 5952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5952

Therefore, the GCF of Fractions 151/64,723/186 is 1/5952

Least Common Multiple of 64,186 with GCF Formula

Least Common Multiple of 64,186 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 64,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,186) = 2

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

GCF(64,186) x common factors =2 x 1 = 2

LCM(64,186) = ( 64 × 186 ) / 2

LCM(64,186) = 11904 / 2

LCM(64,186) = 5952


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FAQs on GCF of Fractions of 151/64, 723/186

1. What is the HCF of 151,723?

The HCF of 151,723 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 151/64, 723/186?

Answer: GCF of Numerators as per given numbers 151/64, 723/186 is

GCF of Numerators i.e. for 151,723 is 1

LCM of denominators i.e. for 64,186 is 5952.

Thus, GCF of Fractions is 1/5952.Finally, GCF of Fractions for 151/64, 723/186 is 1/5952.