How to Find GCF of 68/94, 970/17, 166/839?

GCF of 68/94, 970/17, 166/839

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 68/94, 970/17, 166/839 i.e 2/1340722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/94, 970/17, 166/839.

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 68/94,970/17,166/839?

Given fractions are 68/94,970/17,166/839

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 68/94,970/17,166/839, numerators are 68,970,166

Denominators are 94,17,839

The GCF of 68,970,166 is 2 .

LCM of 94,17,839 is 1340722.

The greatest common factor of 68/94,970/17,166/839 = [GCF of 68,970,166]/[LCM of 94,17,839]= 2/1340722

Therefore, the GCF of 68/94,970/17,166/839 is 2/1340722.

Greatest Common Factor of 68,970,166

To find the highest common factor of 68,970,166, we have to find the factors of both numbers and list the highest common factor.

The factors of 68 are 1, 2, 4, 17, 34, 68

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

The factors of 166 are 1, 2, 83, 166

The HCF of 68,970,166 is 2.

Lets's calculate GCF of 68,970,166

Greatest Common Factor (GCF) of 68,970,166 By Common Division

2	68, 970, 166
	34, 485, 83

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

Greatest Common Factor of 68,970,166 By Matching Biggest Common Factor Method

Now, list down the factors of 68

1,2,4,17,34,68

Now, list down the factors of 970

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

Now, list down the factors of 166

1,2,83,166

Greatest Common Factor

We found the factors 68,970,166 . The biggest common factor number is the GCF number.
So the greatest common factor 68,970,166 is 2.

Lets's calculate LCM of 94,17,839

Lowest Common Multiple of 94,17,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1340722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1340722

Therefore, the GCF of Fractions 68/94,970/17,166/839 is 2/1340722

Least Common Multiple of 94,17,839 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 94,17,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,17,839) = 1

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

GCF(94,17,839) x common factors =1 x 1 = 1

LCM(94,17,839) = ( 94 × 17 × 839 ) / 1

LCM(94,17,839) = 1340722 / 1

LCM(94,17,839) = 1340722

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 68/94, 970/17, 166/839

1. What is the HCF of 68,970,166?

The HCF of 68,970,166 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 68/94, 970/17, 166/839?

Answer: GCF of Numerators as per given numbers 68/94, 970/17, 166/839 is

GCF of Numerators i.e. for 68,970,166 is 2

LCM of denominators i.e. for 94,17,839 is 1340722.

Thus, GCF of Fractions is 2/1340722.Finally, GCF of Fractions for 68/94, 970/17, 166/839 is 2/1340722.