How to Find GCF of 812/634, 3034/327?

GCF of 812/634, 3034/327

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 812/634, 3034/327 i.e 2/207318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/634, 3034/327.

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 812/634,3034/327?

Given fractions are 812/634,3034/327

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 812/634,3034/327, numerators are 812,3034

Denominators are 634,327

The GCF of 812,3034 is 2 .

LCM of 634,327 is 207318.

The greatest common factor of 812/634,3034/327 = [GCF of 812,3034]/[LCM of 634,327]= 2/207318

Therefore, the GCF of 812/634,3034/327 is 2/207318.

Greatest Common Factor of 812,3034

To find the highest common factor of 812,3034, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034

The HCF of 812,3034 is 2.

Lets's calculate GCF of 812,3034

Greatest Common Factor (GCF) of 812,3034 By Common Division

2	812, 3034
	406, 1517

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

Greatest Common Factor of 812,3034 By Matching Biggest Common Factor Method

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 3034

1,2,37,41,74,82,1517,3034

Greatest Common Factor

We found the factors 812,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 812,3034 is 2.

Lets's calculate LCM of 634,327

Lowest Common Multiple of 634,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 207318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207318

Therefore, the GCF of Fractions 812/634,3034/327 is 2/207318

Least Common Multiple of 634,327 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 634,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,327) = 1

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

GCF(634,327) x common factors =1 x 1 = 1

LCM(634,327) = ( 634 × 327 ) / 1

LCM(634,327) = 207318 / 1

LCM(634,327) = 207318

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FAQs on GCF of Fractions of 812/634, 3034/327

1. What is the HCF of 812,3034?

The HCF of 812,3034 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 812/634, 3034/327?

Answer: GCF of Numerators as per given numbers 812/634, 3034/327 is

GCF of Numerators i.e. for 812,3034 is 2

LCM of denominators i.e. for 634,327 is 207318.

Thus, GCF of Fractions is 2/207318.Finally, GCF of Fractions for 812/634, 3034/327 is 2/207318.