How to Find GCF of 3206/392, 4087/5634?

GCF of 3206/392, 4087/5634

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 3206/392, 4087/5634 i.e 1/1104264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3206/392, 4087/5634.

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 3206/392,4087/5634?

Given fractions are 3206/392,4087/5634

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 3206/392,4087/5634, numerators are 3206,4087

Denominators are 392,5634

The GCF of 3206,4087 is 1 .

LCM of 392,5634 is 1104264.

The greatest common factor of 3206/392,4087/5634 = [GCF of 3206,4087]/[LCM of 392,5634]= 1/1104264

Therefore, the GCF of 3206/392,4087/5634 is 1/1104264.

Greatest Common Factor of 3206,4087

To find the highest common factor of 3206,4087, we have to find the factors of both numbers and list the highest common factor.

The factors of 3206 are 1, 2, 7, 14, 229, 458, 1603, 3206

The factors of 4087 are 1, 61, 67, 4087

The HCF of 3206,4087 is 1.

Lets's calculate GCF of 3206,4087

Greatest Common Factor (GCF) of 3206,4087 By Common Division

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

Greatest Common Factor of 3206,4087 By Matching Biggest Common Factor Method

Now, list down the factors of 3206

1,2,7,14,229,458,1603,3206

Now, list down the factors of 4087

1,61,67,4087

Greatest Common Factor

We found the factors 3206,4087 . The biggest common factor number is the GCF number.
So the greatest common factor 3206,4087 is 1.

Lets's calculate LCM of 392,5634

Lowest Common Multiple of 392,5634 using Common Division

2	392, 5634
	196, 2817

∴ So the LCM of the given numbers is 2 x 196 x 2817 = 1104264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1104264

Therefore, the GCF of Fractions 3206/392,4087/5634 is 1/1104264

Least Common Multiple of 392,5634 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 392,5634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,5634) = 2

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

GCF(392,5634) x common factors =2 x 1 = 2

LCM(392,5634) = ( 392 × 5634 ) / 2

LCM(392,5634) = 2208528 / 2

LCM(392,5634) = 1104264

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FAQs on GCF of Fractions of 3206/392, 4087/5634

1. What is the HCF of 3206,4087?

The HCF of 3206,4087 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 3206/392, 4087/5634?

Answer: GCF of Numerators as per given numbers 3206/392, 4087/5634 is

GCF of Numerators i.e. for 3206,4087 is 1

LCM of denominators i.e. for 392,5634 is 1104264.

Thus, GCF of Fractions is 1/1104264.Finally, GCF of Fractions for 3206/392, 4087/5634 is 1/1104264.