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GCF of 171/50, 308/4872

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 171/50, 308/4872 i.e 1/121800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 171/50, 308/4872.

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 171/50,308/4872?

Given fractions are 171/50,308/4872

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 171/50,308/4872, numerators are 171,308

Denominators are 50,4872

The GCF of 171,308 is 1 .

LCM of 50,4872 is 121800.

The greatest common factor of 171/50,308/4872 = [GCF of 171,308]/[LCM of 50,4872]= 1/121800

Therefore, the GCF of 171/50,308/4872 is 1/121800.

Greatest Common Factor of 171,308

To find the highest common factor of 171,308, 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 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 171,308 is 1.

Lets's calculate GCF of 171,308

Greatest Common Factor (GCF) of 171,308 By Common Division

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

Greatest Common Factor of 171,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,308 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 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 171,308 . The biggest common factor number is the GCF number.
So the greatest common factor 171,308 is 1.

Lets's calculate LCM of 50,4872

Lowest Common Multiple of 50,4872 using Common Division

2 50, 4872
25, 2436

∴ So the LCM of the given numbers is 2 x 25 x 2436 = 121800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121800

Therefore, the GCF of Fractions 171/50,308/4872 is 1/121800

Least Common Multiple of 50,4872 with GCF Formula

Least Common Multiple of 50,4872 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 50,4872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,4872) = 2

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

GCF(50,4872) x common factors =2 x 1 = 2

LCM(50,4872) = ( 50 × 4872 ) / 2

LCM(50,4872) = 243600 / 2

LCM(50,4872) = 121800


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FAQs on GCF of Fractions of 171/50, 308/4872

1. What is the HCF of 171,308?

The HCF of 171,308 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 171/50, 308/4872?

Answer: GCF of Numerators as per given numbers 171/50, 308/4872 is

GCF of Numerators i.e. for 171,308 is 1

LCM of denominators i.e. for 50,4872 is 121800.

Thus, GCF of Fractions is 1/121800.Finally, GCF of Fractions for 171/50, 308/4872 is 1/121800.