How to Find GCF of 66/824, 2176/1713?

GCF of 66/824, 2176/1713

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 66/824, 2176/1713 i.e 2/1411512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/824, 2176/1713.

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 66/824,2176/1713?

Given fractions are 66/824,2176/1713

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 66/824,2176/1713, numerators are 66,2176

Denominators are 824,1713

The GCF of 66,2176 is 2 .

LCM of 824,1713 is 1411512.

The greatest common factor of 66/824,2176/1713 = [GCF of 66,2176]/[LCM of 824,1713]= 2/1411512

Therefore, the GCF of 66/824,2176/1713 is 2/1411512.

Greatest Common Factor of 66,2176

To find the highest common factor of 66,2176, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176

The HCF of 66,2176 is 2.

Lets's calculate GCF of 66,2176

Greatest Common Factor (GCF) of 66,2176 By Common Division

2	66, 2176
	33, 1088

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

Greatest Common Factor of 66,2176 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 2176

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Greatest Common Factor

We found the factors 66,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2176 is 2.

Lets's calculate LCM of 824,1713

Lowest Common Multiple of 824,1713 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1411512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1411512

Therefore, the GCF of Fractions 66/824,2176/1713 is 2/1411512

Least Common Multiple of 824,1713 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 824,1713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1713) = 1

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

GCF(824,1713) x common factors =1 x 1 = 1

LCM(824,1713) = ( 824 × 1713 ) / 1

LCM(824,1713) = 1411512 / 1

LCM(824,1713) = 1411512

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FAQs on GCF of Fractions of 66/824, 2176/1713

1. What is the HCF of 66,2176?

The HCF of 66,2176 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 66/824, 2176/1713?

Answer: GCF of Numerators as per given numbers 66/824, 2176/1713 is

GCF of Numerators i.e. for 66,2176 is 2

LCM of denominators i.e. for 824,1713 is 1411512.

Thus, GCF of Fractions is 2/1411512.Finally, GCF of Fractions for 66/824, 2176/1713 is 2/1411512.