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GCF of 65/15, 617/18, 632/748

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 65/15, 617/18, 632/748 i.e 1/33660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/15, 617/18, 632/748.

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 65/15,617/18,632/748?

Given fractions are 65/15,617/18,632/748

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 65/15,617/18,632/748, numerators are 65,617,632

Denominators are 15,18,748

The GCF of 65,617,632 is 1 .

LCM of 15,18,748 is 33660.

The greatest common factor of 65/15,617/18,632/748 = [GCF of 65,617,632]/[LCM of 15,18,748]= 1/33660

Therefore, the GCF of 65/15,617/18,632/748 is 1/33660.

Greatest Common Factor of 65,617,632

To find the highest common factor of 65,617,632, we have to find the factors of both numbers and list the highest common factor.

The factors of 65 are 1, 5, 13, 65

The factors of 617 are 1, 617

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The HCF of 65,617,632 is 1.

Lets's calculate GCF of 65,617,632

Greatest Common Factor (GCF) of 65,617,632 By Common Division

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

Greatest Common Factor of 65,617,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,617,632 By Matching Biggest Common Factor Method

Now, list down the factors of 65

:

1,5,13,65

Now, list down the factors of 617

:

1,617

Now, list down the factors of 632

:

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 65,617,632 . The biggest common factor number is the GCF number.
So the greatest common factor 65,617,632 is 1.


Lets's calculate LCM of 15,18,748

Lowest Common Multiple of 15,18,748 using Common Division

2 15, 18, 748
3 15, 9, 374
5, 3, 374

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 374 = 33660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33660

Therefore, the GCF of Fractions 65/15,617/18,632/748 is 1/33660

Least Common Multiple of 15,18,748 with GCF Formula

Least Common Multiple of 15,18,748 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 15,18,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,18,748) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(15,18,748) x common factors =1 x 6 = 6

LCM(15,18,748) = ( 15 × 18 × 748 ) / 6

LCM(15,18,748) = 201960 / 6

LCM(15,18,748) = 33660


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 65/15, 617/18, 632/748

1. What is the HCF of 65,617,632?

The HCF of 65,617,632 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 65/15, 617/18, 632/748?

Answer: GCF of Numerators as per given numbers 65/15, 617/18, 632/748 is

GCF of Numerators i.e. for 65,617,632 is 1

LCM of denominators i.e. for 15,18,748 is 33660.

Thus, GCF of Fractions is 1/33660.Finally, GCF of Fractions for 65/15, 617/18, 632/748 is 1/33660.