How to Find GCF of 612/37, 472/7822?

GCF of 612/37, 472/7822

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 612/37, 472/7822 i.e 4/289414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/37, 472/7822.

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 612/37,472/7822?

Given fractions are 612/37,472/7822

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 612/37,472/7822, numerators are 612,472

Denominators are 37,7822

The GCF of 612,472 is 4 .

LCM of 37,7822 is 289414.

The greatest common factor of 612/37,472/7822 = [GCF of 612,472]/[LCM of 37,7822]= 4/289414

Therefore, the GCF of 612/37,472/7822 is 4/289414.

Greatest Common Factor of 612,472

To find the highest common factor of 612,472, we have to find the factors of both numbers and list the highest common factor.

The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472

The HCF of 612,472 is 4.

Lets's calculate GCF of 612,472

Greatest Common Factor (GCF) of 612,472 By Common Division

2	612, 472
2	306, 236
	153, 118

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 612,472 By Matching Biggest Common Factor Method

Now, list down the factors of 612

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Now, list down the factors of 472

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 612,472 . The biggest common factor number is the GCF number.
So the greatest common factor 612,472 is 4.

Lets's calculate LCM of 37,7822

Lowest Common Multiple of 37,7822 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 289414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/289414

Therefore, the GCF of Fractions 612/37,472/7822 is 4/289414

Least Common Multiple of 37,7822 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 37,7822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,7822) = 1

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

GCF(37,7822) x common factors =1 x 1 = 1

LCM(37,7822) = ( 37 × 7822 ) / 1

LCM(37,7822) = 289414 / 1

LCM(37,7822) = 289414

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FAQs on GCF of Fractions of 612/37, 472/7822

1. What is the HCF of 612,472?

The HCF of 612,472 is 4

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 612/37, 472/7822?

Answer: GCF of Numerators as per given numbers 612/37, 472/7822 is

GCF of Numerators i.e. for 612,472 is 4

LCM of denominators i.e. for 37,7822 is 289414.

Thus, GCF of Fractions is 4/289414.Finally, GCF of Fractions for 612/37, 472/7822 is 4/289414.