How to Find GCF of 954/223, 1216/5966?

GCF of 954/223, 1216/5966

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 954/223, 1216/5966 i.e 2/1330418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/223, 1216/5966.

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 954/223,1216/5966?

Given fractions are 954/223,1216/5966

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 954/223,1216/5966, numerators are 954,1216

Denominators are 223,5966

The GCF of 954,1216 is 2 .

LCM of 223,5966 is 1330418.

The greatest common factor of 954/223,1216/5966 = [GCF of 954,1216]/[LCM of 223,5966]= 2/1330418

Therefore, the GCF of 954/223,1216/5966 is 2/1330418.

Greatest Common Factor of 954,1216

To find the highest common factor of 954,1216, 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 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216

The HCF of 954,1216 is 2.

Lets's calculate GCF of 954,1216

Greatest Common Factor (GCF) of 954,1216 By Common Division

2	954, 1216
	477, 608

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 954,1216 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 1216

1,2,4,8,16,19,32,38,64,76,152,304,608,1216

Greatest Common Factor

We found the factors 954,1216 . The biggest common factor number is the GCF number.
So the greatest common factor 954,1216 is 2.

Lets's calculate LCM of 223,5966

Lowest Common Multiple of 223,5966 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1330418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1330418

Therefore, the GCF of Fractions 954/223,1216/5966 is 2/1330418

Least Common Multiple of 223,5966 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 223,5966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,5966) = 1

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

GCF(223,5966) x common factors =1 x 1 = 1

LCM(223,5966) = ( 223 × 5966 ) / 1

LCM(223,5966) = 1330418 / 1

LCM(223,5966) = 1330418

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 954/223, 1216/5966

1. What is the HCF of 954,1216?

The HCF of 954,1216 is 2

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 954/223, 1216/5966?

Answer: GCF of Numerators as per given numbers 954/223, 1216/5966 is

GCF of Numerators i.e. for 954,1216 is 2

LCM of denominators i.e. for 223,5966 is 1330418.

Thus, GCF of Fractions is 2/1330418.Finally, GCF of Fractions for 954/223, 1216/5966 is 2/1330418.