How to Find GCF of 666/89, 702/2859?

GCF of 666/89, 702/2859

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 666/89, 702/2859 i.e 18/254451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/89, 702/2859.

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 666/89,702/2859?

Given fractions are 666/89,702/2859

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 666/89,702/2859, numerators are 666,702

Denominators are 89,2859

The GCF of 666,702 is 18 .

LCM of 89,2859 is 254451.

The greatest common factor of 666/89,702/2859 = [GCF of 666,702]/[LCM of 89,2859]= 18/254451

Therefore, the GCF of 666/89,702/2859 is 18/254451.

Greatest Common Factor of 666,702

To find the highest common factor of 666,702, we have to find the factors of both numbers and list the highest common factor.

The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The HCF of 666,702 is 18.

Lets's calculate GCF of 666,702

Greatest Common Factor (GCF) of 666,702 By Common Division

2	666, 702
3	333, 351
3	111, 117
	37, 39

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 666,702 By Matching Biggest Common Factor Method

Now, list down the factors of 666

1,2,3,6,9,18,37,74,111,222,333,666

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 666,702 . The biggest common factor number is the GCF number.
So the greatest common factor 666,702 is 18.

Lets's calculate LCM of 89,2859

Lowest Common Multiple of 89,2859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 254451

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/254451

Therefore, the GCF of Fractions 666/89,702/2859 is 18/254451

Least Common Multiple of 89,2859 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 89,2859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,2859) = 1

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

GCF(89,2859) x common factors =1 x 1 = 1

LCM(89,2859) = ( 89 × 2859 ) / 1

LCM(89,2859) = 254451 / 1

LCM(89,2859) = 254451

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FAQs on GCF of Fractions of 666/89, 702/2859

1. What is the HCF of 666,702?

The HCF of 666,702 is 18

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 666/89, 702/2859?

Answer: GCF of Numerators as per given numbers 666/89, 702/2859 is

GCF of Numerators i.e. for 666,702 is 18

LCM of denominators i.e. for 89,2859 is 254451.

Thus, GCF of Fractions is 18/254451.Finally, GCF of Fractions for 666/89, 702/2859 is 18/254451.