How to Find GCF of 3467/392, 8606/6588?

GCF of 3467/392, 8606/6588

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 3467/392, 8606/6588 i.e 1/645624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3467/392, 8606/6588.

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 3467/392,8606/6588?

Given fractions are 3467/392,8606/6588

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 3467/392,8606/6588, numerators are 3467,8606

Denominators are 392,6588

The GCF of 3467,8606 is 1 .

LCM of 392,6588 is 645624.

The greatest common factor of 3467/392,8606/6588 = [GCF of 3467,8606]/[LCM of 392,6588]= 1/645624

Therefore, the GCF of 3467/392,8606/6588 is 1/645624.

Greatest Common Factor of 3467,8606

To find the highest common factor of 3467,8606, we have to find the factors of both numbers and list the highest common factor.

The factors of 3467 are 1, 3467

The factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606

The HCF of 3467,8606 is 1.

Lets's calculate GCF of 3467,8606

Greatest Common Factor (GCF) of 3467,8606 By Common Division

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

Greatest Common Factor of 3467,8606 By Matching Biggest Common Factor Method

Now, list down the factors of 3467

1,3467

Now, list down the factors of 8606

1,2,13,26,331,662,4303,8606

Greatest Common Factor

We found the factors 3467,8606 . The biggest common factor number is the GCF number.
So the greatest common factor 3467,8606 is 1.

Lets's calculate LCM of 392,6588

Lowest Common Multiple of 392,6588 using Common Division

2	392, 6588
2	196, 3294
	98, 1647

∴ So the LCM of the given numbers is 2 x 2 x 98 x 1647 = 645624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645624

Therefore, the GCF of Fractions 3467/392,8606/6588 is 1/645624

Least Common Multiple of 392,6588 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 392,6588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,6588) = 4

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

GCF(392,6588) x common factors =4 x 1 = 4

LCM(392,6588) = ( 392 × 6588 ) / 4

LCM(392,6588) = 2582496 / 4

LCM(392,6588) = 645624

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3467/392, 8606/6588

1. What is the HCF of 3467,8606?

The HCF of 3467,8606 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 3467/392, 8606/6588?

Answer: GCF of Numerators as per given numbers 3467/392, 8606/6588 is

GCF of Numerators i.e. for 3467,8606 is 1

LCM of denominators i.e. for 392,6588 is 645624.

Thus, GCF of Fractions is 1/645624.Finally, GCF of Fractions for 3467/392, 8606/6588 is 1/645624.