How to Find GCF of 359/566, 8970/718?

GCF of 359/566, 8970/718

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 359/566, 8970/718 i.e 1/203194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/566, 8970/718.

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 359/566,8970/718?

Given fractions are 359/566,8970/718

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 359/566,8970/718, numerators are 359,8970

Denominators are 566,718

The GCF of 359,8970 is 1 .

LCM of 566,718 is 203194.

The greatest common factor of 359/566,8970/718 = [GCF of 359,8970]/[LCM of 566,718]= 1/203194

Therefore, the GCF of 359/566,8970/718 is 1/203194.

Greatest Common Factor of 359,8970

To find the highest common factor of 359,8970, we have to find the factors of both numbers and list the highest common factor.

The factors of 359 are 1, 359

The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970

The HCF of 359,8970 is 1.

Lets's calculate GCF of 359,8970

Greatest Common Factor (GCF) of 359,8970 By Common Division

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

Greatest Common Factor of 359,8970 By Matching Biggest Common Factor Method

Now, list down the factors of 359

1,359

Now, list down the factors of 8970

1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970

Greatest Common Factor

We found the factors 359,8970 . The biggest common factor number is the GCF number.
So the greatest common factor 359,8970 is 1.

Lets's calculate LCM of 566,718

Lowest Common Multiple of 566,718 using Common Division

2	566, 718
	283, 359

∴ So the LCM of the given numbers is 2 x 283 x 359 = 203194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203194

Therefore, the GCF of Fractions 359/566,8970/718 is 1/203194

Least Common Multiple of 566,718 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 566,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,718) = 2

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

GCF(566,718) x common factors =2 x 1 = 2

LCM(566,718) = ( 566 × 718 ) / 2

LCM(566,718) = 406388 / 2

LCM(566,718) = 203194

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FAQs on GCF of Fractions of 359/566, 8970/718

1. What is the HCF of 359,8970?

The HCF of 359,8970 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 359/566, 8970/718?

Answer: GCF of Numerators as per given numbers 359/566, 8970/718 is

GCF of Numerators i.e. for 359,8970 is 1

LCM of denominators i.e. for 566,718 is 203194.

Thus, GCF of Fractions is 1/203194.Finally, GCF of Fractions for 359/566, 8970/718 is 1/203194.