How to Find GCF of 3994/316, 1606/222?

GCF of 3994/316, 1606/222

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 3994/316, 1606/222 i.e 2/35076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3994/316, 1606/222.

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 3994/316,1606/222?

Given fractions are 3994/316,1606/222

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 3994/316,1606/222, numerators are 3994,1606

Denominators are 316,222

The GCF of 3994,1606 is 2 .

LCM of 316,222 is 35076.

The greatest common factor of 3994/316,1606/222 = [GCF of 3994,1606]/[LCM of 316,222]= 2/35076

Therefore, the GCF of 3994/316,1606/222 is 2/35076.

Greatest Common Factor of 3994,1606

To find the highest common factor of 3994,1606, we have to find the factors of both numbers and list the highest common factor.

The factors of 3994 are 1, 2, 1997, 3994

The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606

The HCF of 3994,1606 is 2.

Lets's calculate GCF of 3994,1606

Greatest Common Factor (GCF) of 3994,1606 By Common Division

2	3994, 1606
	1997, 803

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

Greatest Common Factor of 3994,1606 By Matching Biggest Common Factor Method

Now, list down the factors of 3994

1,2,1997,3994

Now, list down the factors of 1606

1,2,11,22,73,146,803,1606

Greatest Common Factor

We found the factors 3994,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 3994,1606 is 2.

Lets's calculate LCM of 316,222

Lowest Common Multiple of 316,222 using Common Division

2	316, 222
	158, 111

∴ So the LCM of the given numbers is 2 x 158 x 111 = 35076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35076

Therefore, the GCF of Fractions 3994/316,1606/222 is 2/35076

Least Common Multiple of 316,222 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 316,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,222) = 2

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

GCF(316,222) x common factors =2 x 1 = 2

LCM(316,222) = ( 316 × 222 ) / 2

LCM(316,222) = 70152 / 2

LCM(316,222) = 35076

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FAQs on GCF of Fractions of 3994/316, 1606/222

1. What is the HCF of 3994,1606?

The HCF of 3994,1606 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 3994/316, 1606/222?

Answer: GCF of Numerators as per given numbers 3994/316, 1606/222 is

GCF of Numerators i.e. for 3994,1606 is 2

LCM of denominators i.e. for 316,222 is 35076.

Thus, GCF of Fractions is 2/35076.Finally, GCF of Fractions for 3994/316, 1606/222 is 2/35076.