How to Find GCF of 66/959, 4213/9986?

GCF of 66/959, 4213/9986

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 66/959, 4213/9986 i.e 11/9576574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/959, 4213/9986.

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 66/959,4213/9986?

Given fractions are 66/959,4213/9986

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 66/959,4213/9986, numerators are 66,4213

Denominators are 959,9986

The GCF of 66,4213 is 11 .

LCM of 959,9986 is 9576574.

The greatest common factor of 66/959,4213/9986 = [GCF of 66,4213]/[LCM of 959,9986]= 11/9576574

Therefore, the GCF of 66/959,4213/9986 is 11/9576574.

Greatest Common Factor of 66,4213

To find the highest common factor of 66,4213, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 4213 are 1, 11, 383, 4213

The HCF of 66,4213 is 11.

Lets's calculate GCF of 66,4213

Greatest Common Factor (GCF) of 66,4213 By Common Division

11	66, 4213
	6, 383

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 66,4213 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 4213

1,11,383,4213

Greatest Common Factor

We found the factors 66,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 66,4213 is 11.

Lets's calculate LCM of 959,9986

Lowest Common Multiple of 959,9986 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9576574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/9576574

Therefore, the GCF of Fractions 66/959,4213/9986 is 11/9576574

Least Common Multiple of 959,9986 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 959,9986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,9986) = 1

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

GCF(959,9986) x common factors =1 x 1 = 1

LCM(959,9986) = ( 959 × 9986 ) / 1

LCM(959,9986) = 9576574 / 1

LCM(959,9986) = 9576574

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FAQs on GCF of Fractions of 66/959, 4213/9986

1. What is the HCF of 66,4213?

The HCF of 66,4213 is 11

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 66/959, 4213/9986?

Answer: GCF of Numerators as per given numbers 66/959, 4213/9986 is

GCF of Numerators i.e. for 66,4213 is 11

LCM of denominators i.e. for 959,9986 is 9576574.

Thus, GCF of Fractions is 11/9576574.Finally, GCF of Fractions for 66/959, 4213/9986 is 11/9576574.