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GCF of 148/57, 513/686

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 148/57, 513/686 i.e 1/39102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/57, 513/686.

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 148/57,513/686?

Given fractions are 148/57,513/686

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 148/57,513/686, numerators are 148,513

Denominators are 57,686

The GCF of 148,513 is 1 .

LCM of 57,686 is 39102.

The greatest common factor of 148/57,513/686 = [GCF of 148,513]/[LCM of 57,686]= 1/39102

Therefore, the GCF of 148/57,513/686 is 1/39102.

Greatest Common Factor of 148,513

To find the highest common factor of 148,513, we have to find the factors of both numbers and list the highest common factor.

The factors of 148 are 1, 2, 4, 37, 74, 148

The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513

The HCF of 148,513 is 1.

Lets's calculate GCF of 148,513

Greatest Common Factor (GCF) of 148,513 By Common Division

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

Greatest Common Factor of 148,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,513 By Matching Biggest Common Factor Method

Now, list down the factors of 148

:

1,2,4,37,74,148

Now, list down the factors of 513

:

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 148,513 . The biggest common factor number is the GCF number.
So the greatest common factor 148,513 is 1.

Lets's calculate LCM of 57,686

Lowest Common Multiple of 57,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 39102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39102

Therefore, the GCF of Fractions 148/57,513/686 is 1/39102

Least Common Multiple of 57,686 with GCF Formula

Least Common Multiple of 57,686 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 57,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,686) = 1

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

GCF(57,686) x common factors =1 x 1 = 1

LCM(57,686) = ( 57 × 686 ) / 1

LCM(57,686) = 39102 / 1

LCM(57,686) = 39102


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FAQs on GCF of Fractions of 148/57, 513/686

1. What is the HCF of 148,513?

The HCF of 148,513 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 148/57, 513/686?

Answer: GCF of Numerators as per given numbers 148/57, 513/686 is

GCF of Numerators i.e. for 148,513 is 1

LCM of denominators i.e. for 57,686 is 39102.

Thus, GCF of Fractions is 1/39102.Finally, GCF of Fractions for 148/57, 513/686 is 1/39102.