How to Find GCF of 13/736, 772/380, 152/183?

GCF of 13/736, 772/380, 152/183

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 13/736, 772/380, 152/183 i.e 1/12795360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/736, 772/380, 152/183.

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 13/736,772/380,152/183?

Given fractions are 13/736,772/380,152/183

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 13/736,772/380,152/183, numerators are 13,772,152

Denominators are 736,380,183

The GCF of 13,772,152 is 1 .

LCM of 736,380,183 is 12795360.

The greatest common factor of 13/736,772/380,152/183 = [GCF of 13,772,152]/[LCM of 736,380,183]= 1/12795360

Therefore, the GCF of 13/736,772/380,152/183 is 1/12795360.

Greatest Common Factor of 13,772,152

To find the highest common factor of 13,772,152, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 772 are 1, 2, 4, 193, 386, 772

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152

The HCF of 13,772,152 is 1.

Lets's calculate GCF of 13,772,152

Greatest Common Factor (GCF) of 13,772,152 By Common Division

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

Greatest Common Factor of 13,772,152 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 772

1,2,4,193,386,772

Now, list down the factors of 152

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 13,772,152 . The biggest common factor number is the GCF number.
So the greatest common factor 13,772,152 is 1.

Lets's calculate LCM of 736,380,183

Lowest Common Multiple of 736,380,183 using Common Division

2	736, 380, 183
2	368, 190, 183
	184, 95, 183

∴ So the LCM of the given numbers is 2 x 2 x 184 x 95 x 183 = 12795360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12795360

Therefore, the GCF of Fractions 13/736,772/380,152/183 is 1/12795360

Least Common Multiple of 736,380,183 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 736,380,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,380,183) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(736,380,183) x common factors =1 x 4 = 4

LCM(736,380,183) = ( 736 × 380 × 183 ) / 4

LCM(736,380,183) = 51181440 / 4

LCM(736,380,183) = 12795360

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/736, 772/380, 152/183

1. What is the HCF of 13,772,152?

The HCF of 13,772,152 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 13/736, 772/380, 152/183?

Answer: GCF of Numerators as per given numbers 13/736, 772/380, 152/183 is

GCF of Numerators i.e. for 13,772,152 is 1

LCM of denominators i.e. for 736,380,183 is 12795360.

Thus, GCF of Fractions is 1/12795360.Finally, GCF of Fractions for 13/736, 772/380, 152/183 is 1/12795360.