How to Find GCF of 3489/792, 4657/8434?

GCF of 3489/792, 4657/8434

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 3489/792, 4657/8434 i.e 1/3339864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3489/792, 4657/8434.

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 3489/792,4657/8434?

Given fractions are 3489/792,4657/8434

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 3489/792,4657/8434, numerators are 3489,4657

Denominators are 792,8434

The GCF of 3489,4657 is 1 .

LCM of 792,8434 is 3339864.

The greatest common factor of 3489/792,4657/8434 = [GCF of 3489,4657]/[LCM of 792,8434]= 1/3339864

Therefore, the GCF of 3489/792,4657/8434 is 1/3339864.

Greatest Common Factor of 3489,4657

To find the highest common factor of 3489,4657, we have to find the factors of both numbers and list the highest common factor.

The factors of 3489 are 1, 3, 1163, 3489

The factors of 4657 are 1, 4657

The HCF of 3489,4657 is 1.

Lets's calculate GCF of 3489,4657

Greatest Common Factor (GCF) of 3489,4657 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3489,4657 By Matching Biggest Common Factor Method

Now, list down the factors of 3489

1,3,1163,3489

Now, list down the factors of 4657

1,4657

Greatest Common Factor

We found the factors 3489,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 3489,4657 is 1.

Lets's calculate LCM of 792,8434

Lowest Common Multiple of 792,8434 using Common Division

2	792, 8434
	396, 4217

∴ So the LCM of the given numbers is 2 x 396 x 4217 = 3339864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3339864

Therefore, the GCF of Fractions 3489/792,4657/8434 is 1/3339864

Least Common Multiple of 792,8434 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 792,8434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,8434) = 2

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

GCF(792,8434) x common factors =2 x 1 = 2

LCM(792,8434) = ( 792 × 8434 ) / 2

LCM(792,8434) = 6679728 / 2

LCM(792,8434) = 3339864

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FAQs on GCF of Fractions of 3489/792, 4657/8434

1. What is the HCF of 3489,4657?

The HCF of 3489,4657 is 1

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 3489/792, 4657/8434?

Answer: GCF of Numerators as per given numbers 3489/792, 4657/8434 is

GCF of Numerators i.e. for 3489,4657 is 1

LCM of denominators i.e. for 792,8434 is 3339864.

Thus, GCF of Fractions is 1/3339864.Finally, GCF of Fractions for 3489/792, 4657/8434 is 1/3339864.