How to Find GCF of 5686/792, 3217/7940?

GCF of 5686/792, 3217/7940

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 5686/792, 3217/7940 i.e 1/1572120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5686/792, 3217/7940.

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 5686/792,3217/7940?

Given fractions are 5686/792,3217/7940

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 5686/792,3217/7940, numerators are 5686,3217

Denominators are 792,7940

The GCF of 5686,3217 is 1 .

LCM of 792,7940 is 1572120.

The greatest common factor of 5686/792,3217/7940 = [GCF of 5686,3217]/[LCM of 792,7940]= 1/1572120

Therefore, the GCF of 5686/792,3217/7940 is 1/1572120.

Greatest Common Factor of 5686,3217

To find the highest common factor of 5686,3217, we have to find the factors of both numbers and list the highest common factor.

The factors of 5686 are 1, 2, 2843, 5686

The factors of 3217 are 1, 3217

The HCF of 5686,3217 is 1.

Lets's calculate GCF of 5686,3217

Greatest Common Factor (GCF) of 5686,3217 By Common Division

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

Greatest Common Factor of 5686,3217 By Matching Biggest Common Factor Method

Now, list down the factors of 5686

1,2,2843,5686

Now, list down the factors of 3217

1,3217

Greatest Common Factor

We found the factors 5686,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,3217 is 1.

Lets's calculate LCM of 792,7940

Lowest Common Multiple of 792,7940 using Common Division

2	792, 7940
2	396, 3970
	198, 1985

∴ So the LCM of the given numbers is 2 x 2 x 198 x 1985 = 1572120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1572120

Therefore, the GCF of Fractions 5686/792,3217/7940 is 1/1572120

Least Common Multiple of 792,7940 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 792,7940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,7940) = 4

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

GCF(792,7940) x common factors =4 x 1 = 4

LCM(792,7940) = ( 792 × 7940 ) / 4

LCM(792,7940) = 6288480 / 4

LCM(792,7940) = 1572120

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FAQs on GCF of Fractions of 5686/792, 3217/7940

1. What is the HCF of 5686,3217?

The HCF of 5686,3217 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 5686/792, 3217/7940?

Answer: GCF of Numerators as per given numbers 5686/792, 3217/7940 is

GCF of Numerators i.e. for 5686,3217 is 1

LCM of denominators i.e. for 792,7940 is 1572120.

Thus, GCF of Fractions is 1/1572120.Finally, GCF of Fractions for 5686/792, 3217/7940 is 1/1572120.