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GCF of 127/747, 618/514

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 127/747, 618/514 i.e 1/383958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/747, 618/514.

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 127/747,618/514?

Given fractions are 127/747,618/514

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 127/747,618/514, numerators are 127,618

Denominators are 747,514

The GCF of 127,618 is 1 .

LCM of 747,514 is 383958.

The greatest common factor of 127/747,618/514 = [GCF of 127,618]/[LCM of 747,514]= 1/383958

Therefore, the GCF of 127/747,618/514 is 1/383958.

Greatest Common Factor of 127,618

To find the highest common factor of 127,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 127 are 1, 127

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 127,618 is 1.

Lets's calculate GCF of 127,618

Greatest Common Factor (GCF) of 127,618 By Common Division

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

Greatest Common Factor of 127,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,618 By Matching Biggest Common Factor Method

Now, list down the factors of 127

:

1,127

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 127,618 . The biggest common factor number is the GCF number.
So the greatest common factor 127,618 is 1.

Lets's calculate LCM of 747,514

Lowest Common Multiple of 747,514 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 383958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383958

Therefore, the GCF of Fractions 127/747,618/514 is 1/383958

Least Common Multiple of 747,514 with GCF Formula

Least Common Multiple of 747,514 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 747,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,514) = 1

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

GCF(747,514) x common factors =1 x 1 = 1

LCM(747,514) = ( 747 × 514 ) / 1

LCM(747,514) = 383958 / 1

LCM(747,514) = 383958


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FAQs on GCF of Fractions of 127/747, 618/514

1. What is the HCF of 127,618?

The HCF of 127,618 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 127/747, 618/514?

Answer: GCF of Numerators as per given numbers 127/747, 618/514 is

GCF of Numerators i.e. for 127,618 is 1

LCM of denominators i.e. for 747,514 is 383958.

Thus, GCF of Fractions is 1/383958.Finally, GCF of Fractions for 127/747, 618/514 is 1/383958.