How to Find GCF of 166/996, 7678/2176?

GCF of 166/996, 7678/2176

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 166/996, 7678/2176 i.e 2/541824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/996, 7678/2176.

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 166/996,7678/2176?

Given fractions are 166/996,7678/2176

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 166/996,7678/2176, numerators are 166,7678

Denominators are 996,2176

The GCF of 166,7678 is 2 .

LCM of 996,2176 is 541824.

The greatest common factor of 166/996,7678/2176 = [GCF of 166,7678]/[LCM of 996,2176]= 2/541824

Therefore, the GCF of 166/996,7678/2176 is 2/541824.

Greatest Common Factor of 166,7678

To find the highest common factor of 166,7678, we have to find the factors of both numbers and list the highest common factor.

The factors of 166 are 1, 2, 83, 166

The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678

The HCF of 166,7678 is 2.

Lets's calculate GCF of 166,7678

Greatest Common Factor (GCF) of 166,7678 By Common Division

2	166, 7678
	83, 3839

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

Greatest Common Factor of 166,7678 By Matching Biggest Common Factor Method

Now, list down the factors of 166

1,2,83,166

Now, list down the factors of 7678

1,2,11,22,349,698,3839,7678

Greatest Common Factor

We found the factors 166,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 166,7678 is 2.

Lets's calculate LCM of 996,2176

Lowest Common Multiple of 996,2176 using Common Division

2	996, 2176
2	498, 1088
	249, 544

∴ So the LCM of the given numbers is 2 x 2 x 249 x 544 = 541824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/541824

Therefore, the GCF of Fractions 166/996,7678/2176 is 2/541824

Least Common Multiple of 996,2176 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 996,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,2176) = 4

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

GCF(996,2176) x common factors =4 x 1 = 4

LCM(996,2176) = ( 996 × 2176 ) / 4

LCM(996,2176) = 2167296 / 4

LCM(996,2176) = 541824

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FAQs on GCF of Fractions of 166/996, 7678/2176

1. What is the HCF of 166,7678?

The HCF of 166,7678 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 166/996, 7678/2176?

Answer: GCF of Numerators as per given numbers 166/996, 7678/2176 is

GCF of Numerators i.e. for 166,7678 is 2

LCM of denominators i.e. for 996,2176 is 541824.

Thus, GCF of Fractions is 2/541824.Finally, GCF of Fractions for 166/996, 7678/2176 is 2/541824.