How to Find GCF of 216/50, 427/3423?

GCF of 216/50, 427/3423

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 216/50, 427/3423 i.e 1/171150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/50, 427/3423.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 216/50,427/3423?

Given fractions are 216/50,427/3423

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 216/50,427/3423, numerators are 216,427

Denominators are 50,3423

The GCF of 216,427 is 1 .

LCM of 50,3423 is 171150.

The greatest common factor of 216/50,427/3423 = [GCF of 216,427]/[LCM of 50,3423]= 1/171150

Therefore, the GCF of 216/50,427/3423 is 1/171150.

Greatest Common Factor of 216,427

To find the highest common factor of 216,427, we have to find the factors of both numbers and list the highest common factor.

The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

The factors of 427 are 1, 7, 61, 427

The HCF of 216,427 is 1.

Lets's calculate GCF of 216,427

Greatest Common Factor (GCF) of 216,427 By Common Division

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

Greatest Common Factor of 216,427 By Matching Biggest Common Factor Method

Now, list down the factors of 216

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Now, list down the factors of 427

1,7,61,427

Greatest Common Factor

We found the factors 216,427 . The biggest common factor number is the GCF number.
So the greatest common factor 216,427 is 1.

Lets's calculate LCM of 50,3423

Lowest Common Multiple of 50,3423 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 171150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171150

Therefore, the GCF of Fractions 216/50,427/3423 is 1/171150

Least Common Multiple of 50,3423 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,3423) = 1

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

GCF(50,3423) x common factors =1 x 1 = 1

LCM(50,3423) = ( 50 × 3423 ) / 1

LCM(50,3423) = 171150 / 1

LCM(50,3423) = 171150

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FAQs on GCF of Fractions of 216/50, 427/3423

1. What is the HCF of 216,427?

The HCF of 216,427 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 216/50, 427/3423?

Answer: GCF of Numerators as per given numbers 216/50, 427/3423 is

GCF of Numerators i.e. for 216,427 is 1

LCM of denominators i.e. for 50,3423 is 171150.

Thus, GCF of Fractions is 1/171150.Finally, GCF of Fractions for 216/50, 427/3423 is 1/171150.