How to Find GCF of 34/72, 166/57, 599/586?

GCF of 34/72, 166/57, 599/586

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 34/72, 166/57, 599/586 i.e 1/400824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/72, 166/57, 599/586.

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 34/72,166/57,599/586?

Given fractions are 34/72,166/57,599/586

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 34/72,166/57,599/586, numerators are 34,166,599

Denominators are 72,57,586

The GCF of 34,166,599 is 1 .

LCM of 72,57,586 is 400824.

The greatest common factor of 34/72,166/57,599/586 = [GCF of 34,166,599]/[LCM of 72,57,586]= 1/400824

Therefore, the GCF of 34/72,166/57,599/586 is 1/400824.

Greatest Common Factor of 34,166,599

To find the highest common factor of 34,166,599, we have to find the factors of both numbers and list the highest common factor.

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

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

The factors of 599 are 1, 599

The HCF of 34,166,599 is 1.

Lets's calculate GCF of 34,166,599

Greatest Common Factor (GCF) of 34,166,599 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 34,166,599 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 166

1,2,83,166

Now, list down the factors of 599

1,599

Greatest Common Factor

We found the factors 34,166,599 . The biggest common factor number is the GCF number.
So the greatest common factor 34,166,599 is 1.

Lets's calculate LCM of 72,57,586

Lowest Common Multiple of 72,57,586 using Common Division

2	72, 57, 586
3	36, 57, 293
	12, 19, 293

∴ So the LCM of the given numbers is 2 x 3 x 12 x 19 x 293 = 400824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400824

Therefore, the GCF of Fractions 34/72,166/57,599/586 is 1/400824

Least Common Multiple of 72,57,586 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 72,57,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,57,586) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,57,586) x common factors =1 x 6 = 6

LCM(72,57,586) = ( 72 × 57 × 586 ) / 6

LCM(72,57,586) = 2404944 / 6

LCM(72,57,586) = 400824

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FAQs on GCF of Fractions of 34/72, 166/57, 599/586

1. What is the HCF of 34,166,599?

The HCF of 34,166,599 is 1

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 34/72, 166/57, 599/586?

Answer: GCF of Numerators as per given numbers 34/72, 166/57, 599/586 is

GCF of Numerators i.e. for 34,166,599 is 1

LCM of denominators i.e. for 72,57,586 is 400824.

Thus, GCF of Fractions is 1/400824.Finally, GCF of Fractions for 34/72, 166/57, 599/586 is 1/400824.