How to Find GCF of 4606/712, 3730/4808?

GCF of 4606/712, 3730/4808

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 4606/712, 3730/4808 i.e 2/427912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4606/712, 3730/4808.

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 4606/712,3730/4808?

Given fractions are 4606/712,3730/4808

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 4606/712,3730/4808, numerators are 4606,3730

Denominators are 712,4808

The GCF of 4606,3730 is 2 .

LCM of 712,4808 is 427912.

The greatest common factor of 4606/712,3730/4808 = [GCF of 4606,3730]/[LCM of 712,4808]= 2/427912

Therefore, the GCF of 4606/712,3730/4808 is 2/427912.

Greatest Common Factor of 4606,3730

To find the highest common factor of 4606,3730, we have to find the factors of both numbers and list the highest common factor.

The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606

The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730

The HCF of 4606,3730 is 2.

Lets's calculate GCF of 4606,3730

Greatest Common Factor (GCF) of 4606,3730 By Common Division

2	4606, 3730
	2303, 1865

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

Greatest Common Factor of 4606,3730 By Matching Biggest Common Factor Method

Now, list down the factors of 4606

1,2,7,14,47,49,94,98,329,658,2303,4606

Now, list down the factors of 3730

1,2,5,10,373,746,1865,3730

Greatest Common Factor

We found the factors 4606,3730 . The biggest common factor number is the GCF number.
So the greatest common factor 4606,3730 is 2.

Lets's calculate LCM of 712,4808

Lowest Common Multiple of 712,4808 using Common Division

2	712, 4808
2	356, 2404
2	178, 1202
	89, 601

∴ So the LCM of the given numbers is 2 x 2 x 2 x 89 x 601 = 427912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/427912

Therefore, the GCF of Fractions 4606/712,3730/4808 is 2/427912

Least Common Multiple of 712,4808 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 712,4808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,4808) = 8

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

GCF(712,4808) x common factors =8 x 1 = 8

LCM(712,4808) = ( 712 × 4808 ) / 8

LCM(712,4808) = 3423296 / 8

LCM(712,4808) = 427912

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4606/712, 3730/4808

1. What is the HCF of 4606,3730?

The HCF of 4606,3730 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 4606/712, 3730/4808?

Answer: GCF of Numerators as per given numbers 4606/712, 3730/4808 is

GCF of Numerators i.e. for 4606,3730 is 2

LCM of denominators i.e. for 712,4808 is 427912.

Thus, GCF of Fractions is 2/427912.Finally, GCF of Fractions for 4606/712, 3730/4808 is 2/427912.