How to Find GCF of 5668/470, 2317/8090?

GCF of 5668/470, 2317/8090

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 5668/470, 2317/8090 i.e 1/380230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5668/470, 2317/8090.

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 5668/470,2317/8090?

Given fractions are 5668/470,2317/8090

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 5668/470,2317/8090, numerators are 5668,2317

Denominators are 470,8090

The GCF of 5668,2317 is 1 .

LCM of 470,8090 is 380230.

The greatest common factor of 5668/470,2317/8090 = [GCF of 5668,2317]/[LCM of 470,8090]= 1/380230

Therefore, the GCF of 5668/470,2317/8090 is 1/380230.

Greatest Common Factor of 5668,2317

To find the highest common factor of 5668,2317, we have to find the factors of both numbers and list the highest common factor.

The factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

The factors of 2317 are 1, 7, 331, 2317

The HCF of 5668,2317 is 1.

Lets's calculate GCF of 5668,2317

Greatest Common Factor (GCF) of 5668,2317 By Common Division

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

Greatest Common Factor of 5668,2317 By Matching Biggest Common Factor Method

Now, list down the factors of 5668

1,2,4,13,26,52,109,218,436,1417,2834,5668

Now, list down the factors of 2317

1,7,331,2317

Greatest Common Factor

We found the factors 5668,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 5668,2317 is 1.

Lets's calculate LCM of 470,8090

Lowest Common Multiple of 470,8090 using Common Division

2	470, 8090
5	235, 4045
	47, 809

∴ So the LCM of the given numbers is 2 x 5 x 47 x 809 = 380230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/380230

Therefore, the GCF of Fractions 5668/470,2317/8090 is 1/380230

Least Common Multiple of 470,8090 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 470,8090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,8090) = 10

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

GCF(470,8090) x common factors =10 x 1 = 10

LCM(470,8090) = ( 470 × 8090 ) / 10

LCM(470,8090) = 3802300 / 10

LCM(470,8090) = 380230

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FAQs on GCF of Fractions of 5668/470, 2317/8090

1. What is the HCF of 5668,2317?

The HCF of 5668,2317 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 5668/470, 2317/8090?

Answer: GCF of Numerators as per given numbers 5668/470, 2317/8090 is

GCF of Numerators i.e. for 5668,2317 is 1

LCM of denominators i.e. for 470,8090 is 380230.

Thus, GCF of Fractions is 1/380230.Finally, GCF of Fractions for 5668/470, 2317/8090 is 1/380230.