How to Find GCF of 96/419, 66/911, 406/117?

GCF of 96/419, 66/911, 406/117

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 96/419, 66/911, 406/117 i.e 2/44659953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/419, 66/911, 406/117.

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 96/419,66/911,406/117?

Given fractions are 96/419,66/911,406/117

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 96/419,66/911,406/117, numerators are 96,66,406

Denominators are 419,911,117

The GCF of 96,66,406 is 2 .

LCM of 419,911,117 is 44659953.

The greatest common factor of 96/419,66/911,406/117 = [GCF of 96,66,406]/[LCM of 419,911,117]= 2/44659953

Therefore, the GCF of 96/419,66/911,406/117 is 2/44659953.

Greatest Common Factor of 96,66,406

To find the highest common factor of 96,66,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 96,66,406 is 2.

Lets's calculate GCF of 96,66,406

Greatest Common Factor (GCF) of 96,66,406 By Common Division

2	96, 66, 406
	48, 33, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 96,66,406 By Matching Biggest Common Factor Method

Now, list down the factors of 96

1,2,3,4,6,8,12,16,24,32,48,96

Now, list down the factors of 66

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

Now, list down the factors of 406

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 96,66,406 . The biggest common factor number is the GCF number.
So the greatest common factor 96,66,406 is 2.

Lets's calculate LCM of 419,911,117

Lowest Common Multiple of 419,911,117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 44659953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44659953

Therefore, the GCF of Fractions 96/419,66/911,406/117 is 2/44659953

Least Common Multiple of 419,911,117 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 419,911,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,911,117) = 1

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

GCF(419,911,117) x common factors =1 x 1 = 1

LCM(419,911,117) = ( 419 × 911 × 117 ) / 1

LCM(419,911,117) = 44659953 / 1

LCM(419,911,117) = 44659953

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 96/419, 66/911, 406/117

1. What is the HCF of 96,66,406?

The HCF of 96,66,406 is 2

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 96/419, 66/911, 406/117?

Answer: GCF of Numerators as per given numbers 96/419, 66/911, 406/117 is

GCF of Numerators i.e. for 96,66,406 is 2

LCM of denominators i.e. for 419,911,117 is 44659953.

Thus, GCF of Fractions is 2/44659953.Finally, GCF of Fractions for 96/419, 66/911, 406/117 is 2/44659953.