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GCF of 391/21, 918/173

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 391/21, 918/173 i.e 17/3633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/21, 918/173.

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 391/21,918/173?

Given fractions are 391/21,918/173

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 391/21,918/173, numerators are 391,918

Denominators are 21,173

The GCF of 391,918 is 17 .

LCM of 21,173 is 3633.

The greatest common factor of 391/21,918/173 = [GCF of 391,918]/[LCM of 21,173]= 17/3633

Therefore, the GCF of 391/21,918/173 is 17/3633.

Greatest Common Factor of 391,918

To find the highest common factor of 391,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 391 are 1, 17, 23, 391

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 391,918 is 17.

Lets's calculate GCF of 391,918

Greatest Common Factor (GCF) of 391,918 By Common Division

17 391, 918
23, 54

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 391,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,918 By Matching Biggest Common Factor Method

Now, list down the factors of 391

:

1,17,23,391

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 391,918 . The biggest common factor number is the GCF number.
So the greatest common factor 391,918 is 17.


Lets's calculate LCM of 21,173

Lowest Common Multiple of 21,173 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3633

Therefore, the GCF of Fractions 391/21,918/173 is 17/3633

Least Common Multiple of 21,173 with GCF Formula

Least Common Multiple of 21,173 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 21,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,173) = 1

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

GCF(21,173) x common factors =1 x 1 = 1

LCM(21,173) = ( 21 × 173 ) / 1

LCM(21,173) = 3633 / 1

LCM(21,173) = 3633


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 391/21, 918/173

1. What is the HCF of 391,918?

The HCF of 391,918 is 17

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 391/21, 918/173?

Answer: GCF of Numerators as per given numbers 391/21, 918/173 is

GCF of Numerators i.e. for 391,918 is 17

LCM of denominators i.e. for 21,173 is 3633.

Thus, GCF of Fractions is 17/3633.Finally, GCF of Fractions for 391/21, 918/173 is 17/3633.