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GCF of 954/20, 173/810

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 954/20, 173/810 i.e 1/1620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/20, 173/810.

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 954/20,173/810?

Given fractions are 954/20,173/810

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 954/20,173/810, numerators are 954,173

Denominators are 20,810

The GCF of 954,173 is 1 .

LCM of 20,810 is 1620.

The greatest common factor of 954/20,173/810 = [GCF of 954,173]/[LCM of 20,810]= 1/1620

Therefore, the GCF of 954/20,173/810 is 1/1620.

Greatest Common Factor of 954,173

To find the highest common factor of 954,173, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 173 are 1, 173

The HCF of 954,173 is 1.

Lets's calculate GCF of 954,173

Greatest Common Factor (GCF) of 954,173 By Common Division

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

Greatest Common Factor of 954,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,173 By Matching Biggest Common Factor Method

Now, list down the factors of 954

:

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 173

:

1,173

Greatest Common Factor

We found the factors 954,173 . The biggest common factor number is the GCF number.
So the greatest common factor 954,173 is 1.

Lets's calculate LCM of 20,810

Lowest Common Multiple of 20,810 using Common Division

2 20, 810
5 10, 405
2, 81

∴ So the LCM of the given numbers is 2 x 5 x 2 x 81 = 1620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1620

Therefore, the GCF of Fractions 954/20,173/810 is 1/1620

Least Common Multiple of 20,810 with GCF Formula

Least Common Multiple of 20,810 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 20,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,810) = 10

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

GCF(20,810) x common factors =10 x 1 = 10

LCM(20,810) = ( 20 × 810 ) / 10

LCM(20,810) = 16200 / 10

LCM(20,810) = 1620


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FAQs on GCF of Fractions of 954/20, 173/810

1. What is the HCF of 954,173?

The HCF of 954,173 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 954/20, 173/810?

Answer: GCF of Numerators as per given numbers 954/20, 173/810 is

GCF of Numerators i.e. for 954,173 is 1

LCM of denominators i.e. for 20,810 is 1620.

Thus, GCF of Fractions is 1/1620.Finally, GCF of Fractions for 954/20, 173/810 is 1/1620.