How to Find GCF of 66/773, 30/181, 970/883?

GCF of 66/773, 30/181, 970/883

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 66/773, 30/181, 970/883 i.e 2/123543179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/773, 30/181, 970/883.

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 66/773,30/181,970/883?

Given fractions are 66/773,30/181,970/883

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 66/773,30/181,970/883, numerators are 66,30,970

Denominators are 773,181,883

The GCF of 66,30,970 is 2 .

LCM of 773,181,883 is 123543179.

The greatest common factor of 66/773,30/181,970/883 = [GCF of 66,30,970]/[LCM of 773,181,883]= 2/123543179

Therefore, the GCF of 66/773,30/181,970/883 is 2/123543179.

Greatest Common Factor of 66,30,970

To find the highest common factor of 66,30,970, 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 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The HCF of 66,30,970 is 2.

Lets's calculate GCF of 66,30,970

Greatest Common Factor (GCF) of 66,30,970 By Common Division

2	66, 30, 970
	33, 15, 485

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

Greatest Common Factor of 66,30,970 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 30

1,2,3,5,6,10,15,30

Now, list down the factors of 970

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 66,30,970 . The biggest common factor number is the GCF number.
So the greatest common factor 66,30,970 is 2.

Lets's calculate LCM of 773,181,883

Lowest Common Multiple of 773,181,883 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 123543179

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123543179

Therefore, the GCF of Fractions 66/773,30/181,970/883 is 2/123543179

Least Common Multiple of 773,181,883 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 773,181,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,181,883) = 1

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

GCF(773,181,883) x common factors =1 x 1 = 1

LCM(773,181,883) = ( 773 × 181 × 883 ) / 1

LCM(773,181,883) = 123543179 / 1

LCM(773,181,883) = 123543179

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 66/773, 30/181, 970/883

1. What is the HCF of 66,30,970?

The HCF of 66,30,970 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 66/773, 30/181, 970/883?

Answer: GCF of Numerators as per given numbers 66/773, 30/181, 970/883 is

GCF of Numerators i.e. for 66,30,970 is 2

LCM of denominators i.e. for 773,181,883 is 123543179.

Thus, GCF of Fractions is 2/123543179.Finally, GCF of Fractions for 66/773, 30/181, 970/883 is 2/123543179.