How to Find GCF of 16/34, 152/65, 782/681?

GCF of 16/34, 152/65, 782/681

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 16/34, 152/65, 782/681 i.e 2/1505010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/34, 152/65, 782/681.

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 16/34,152/65,782/681?

Given fractions are 16/34,152/65,782/681

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 16/34,152/65,782/681, numerators are 16,152,782

Denominators are 34,65,681

The GCF of 16,152,782 is 2 .

LCM of 34,65,681 is 1505010.

The greatest common factor of 16/34,152/65,782/681 = [GCF of 16,152,782]/[LCM of 34,65,681]= 2/1505010

Therefore, the GCF of 16/34,152/65,782/681 is 2/1505010.

Greatest Common Factor of 16,152,782

To find the highest common factor of 16,152,782, we have to find the factors of both numbers and list the highest common factor.

The factors of 16 are 1, 2, 4, 8, 16

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

The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782

The HCF of 16,152,782 is 2.

Lets's calculate GCF of 16,152,782

Greatest Common Factor (GCF) of 16,152,782 By Common Division

2	16, 152, 782
	8, 76, 391

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

Greatest Common Factor of 16,152,782 By Matching Biggest Common Factor Method

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 152

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

Now, list down the factors of 782

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 16,152,782 . The biggest common factor number is the GCF number.
So the greatest common factor 16,152,782 is 2.

Lets's calculate LCM of 34,65,681

Lowest Common Multiple of 34,65,681 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1505010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1505010

Therefore, the GCF of Fractions 16/34,152/65,782/681 is 2/1505010

Least Common Multiple of 34,65,681 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 34,65,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,65,681) = 1

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

GCF(34,65,681) x common factors =1 x 1 = 1

LCM(34,65,681) = ( 34 × 65 × 681 ) / 1

LCM(34,65,681) = 1505010 / 1

LCM(34,65,681) = 1505010

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 16/34, 152/65, 782/681

1. What is the HCF of 16,152,782?

The HCF of 16,152,782 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 16/34, 152/65, 782/681?

Answer: GCF of Numerators as per given numbers 16/34, 152/65, 782/681 is

GCF of Numerators i.e. for 16,152,782 is 2

LCM of denominators i.e. for 34,65,681 is 1505010.

Thus, GCF of Fractions is 2/1505010.Finally, GCF of Fractions for 16/34, 152/65, 782/681 is 2/1505010.