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GCF of 171/54, 703/1212

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 171/54, 703/1212 i.e 19/10908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 171/54, 703/1212.

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 171/54,703/1212?

Given fractions are 171/54,703/1212

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 171/54,703/1212, numerators are 171,703

Denominators are 54,1212

The GCF of 171,703 is 19 .

LCM of 54,1212 is 10908.

The greatest common factor of 171/54,703/1212 = [GCF of 171,703]/[LCM of 54,1212]= 19/10908

Therefore, the GCF of 171/54,703/1212 is 19/10908.

Greatest Common Factor of 171,703

To find the highest common factor of 171,703, we have to find the factors of both numbers and list the highest common factor.

The factors of 171 are 1, 3, 9, 19, 57, 171

The factors of 703 are 1, 19, 37, 703

The HCF of 171,703 is 19.

Lets's calculate GCF of 171,703

Greatest Common Factor (GCF) of 171,703 By Common Division

19 171, 703
9, 37

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 171,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,703 By Matching Biggest Common Factor Method

Now, list down the factors of 171

:

1,3,9,19,57,171

Now, list down the factors of 703

:

1,19,37,703

Greatest Common Factor

We found the factors 171,703 . The biggest common factor number is the GCF number.
So the greatest common factor 171,703 is 19.

Lets's calculate LCM of 54,1212

Lowest Common Multiple of 54,1212 using Common Division

2 54, 1212
3 27, 606
9, 202

∴ So the LCM of the given numbers is 2 x 3 x 9 x 202 = 10908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/10908

Therefore, the GCF of Fractions 171/54,703/1212 is 19/10908

Least Common Multiple of 54,1212 with GCF Formula

Least Common Multiple of 54,1212 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 54,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1212) = 6

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

GCF(54,1212) x common factors =6 x 1 = 6

LCM(54,1212) = ( 54 × 1212 ) / 6

LCM(54,1212) = 65448 / 6

LCM(54,1212) = 10908


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FAQs on GCF of Fractions of 171/54, 703/1212

1. What is the HCF of 171,703?

The HCF of 171,703 is 19

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 171/54, 703/1212?

Answer: GCF of Numerators as per given numbers 171/54, 703/1212 is

GCF of Numerators i.e. for 171,703 is 19

LCM of denominators i.e. for 54,1212 is 10908.

Thus, GCF of Fractions is 19/10908.Finally, GCF of Fractions for 171/54, 703/1212 is 19/10908.