How to Find GCF of 156/588, 3470/1566?

GCF of 156/588, 3470/1566

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 156/588, 3470/1566 i.e 2/153468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/588, 3470/1566.

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 156/588,3470/1566?

Given fractions are 156/588,3470/1566

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 156/588,3470/1566, numerators are 156,3470

Denominators are 588,1566

The GCF of 156,3470 is 2 .

LCM of 588,1566 is 153468.

The greatest common factor of 156/588,3470/1566 = [GCF of 156,3470]/[LCM of 588,1566]= 2/153468

Therefore, the GCF of 156/588,3470/1566 is 2/153468.

Greatest Common Factor of 156,3470

To find the highest common factor of 156,3470, we have to find the factors of both numbers and list the highest common factor.

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470

The HCF of 156,3470 is 2.

Lets's calculate GCF of 156,3470

Greatest Common Factor (GCF) of 156,3470 By Common Division

2	156, 3470
	78, 1735

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

Greatest Common Factor of 156,3470 By Matching Biggest Common Factor Method

Now, list down the factors of 156

1,2,3,4,6,12,13,26,39,52,78,156

Now, list down the factors of 3470

1,2,5,10,347,694,1735,3470

Greatest Common Factor

We found the factors 156,3470 . The biggest common factor number is the GCF number.
So the greatest common factor 156,3470 is 2.

Lets's calculate LCM of 588,1566

Lowest Common Multiple of 588,1566 using Common Division

2	588, 1566
3	294, 783
	98, 261

∴ So the LCM of the given numbers is 2 x 3 x 98 x 261 = 153468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153468

Therefore, the GCF of Fractions 156/588,3470/1566 is 2/153468

Least Common Multiple of 588,1566 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 588,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,1566) = 6

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

GCF(588,1566) x common factors =6 x 1 = 6

LCM(588,1566) = ( 588 × 1566 ) / 6

LCM(588,1566) = 920808 / 6

LCM(588,1566) = 153468

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FAQs on GCF of Fractions of 156/588, 3470/1566

1. What is the HCF of 156,3470?

The HCF of 156,3470 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 156/588, 3470/1566?

Answer: GCF of Numerators as per given numbers 156/588, 3470/1566 is

GCF of Numerators i.e. for 156,3470 is 2

LCM of denominators i.e. for 588,1566 is 153468.

Thus, GCF of Fractions is 2/153468.Finally, GCF of Fractions for 156/588, 3470/1566 is 2/153468.