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GCF of 7627/159, 5618/1446

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 7627/159, 5618/1446 i.e 1/76638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7627/159, 5618/1446.

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 7627/159,5618/1446?

Given fractions are 7627/159,5618/1446

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 7627/159,5618/1446, numerators are 7627,5618

Denominators are 159,1446

The GCF of 7627,5618 is 1 .

LCM of 159,1446 is 76638.

The greatest common factor of 7627/159,5618/1446 = [GCF of 7627,5618]/[LCM of 159,1446]= 1/76638

Therefore, the GCF of 7627/159,5618/1446 is 1/76638.

Greatest Common Factor of 7627,5618

To find the highest common factor of 7627,5618, we have to find the factors of both numbers and list the highest common factor.

The factors of 7627 are 1, 29, 263, 7627

The factors of 5618 are 1, 2, 53, 106, 2809, 5618

The HCF of 7627,5618 is 1.

Lets's calculate GCF of 7627,5618

Greatest Common Factor (GCF) of 7627,5618 By Common Division

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

Greatest Common Factor of 7627,5618 By Matching Biggest Common Factor Method

Greatest Common Factor of 7627,5618 By Matching Biggest Common Factor Method

Now, list down the factors of 7627

:

1,29,263,7627

Now, list down the factors of 5618

:

1,2,53,106,2809,5618

Greatest Common Factor

We found the factors 7627,5618 . The biggest common factor number is the GCF number.
So the greatest common factor 7627,5618 is 1.

Lets's calculate LCM of 159,1446

Lowest Common Multiple of 159,1446 using Common Division

3 159, 1446
53, 482

∴ So the LCM of the given numbers is 3 x 53 x 482 = 76638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76638

Therefore, the GCF of Fractions 7627/159,5618/1446 is 1/76638

Least Common Multiple of 159,1446 with GCF Formula

Least Common Multiple of 159,1446 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 159,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,1446) = 3

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

GCF(159,1446) x common factors =3 x 1 = 3

LCM(159,1446) = ( 159 × 1446 ) / 3

LCM(159,1446) = 229914 / 3

LCM(159,1446) = 76638


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FAQs on GCF of Fractions of 7627/159, 5618/1446

1. What is the HCF of 7627,5618?

The HCF of 7627,5618 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 7627/159, 5618/1446?

Answer: GCF of Numerators as per given numbers 7627/159, 5618/1446 is

GCF of Numerators i.e. for 7627,5618 is 1

LCM of denominators i.e. for 159,1446 is 76638.

Thus, GCF of Fractions is 1/76638.Finally, GCF of Fractions for 7627/159, 5618/1446 is 1/76638.