How to Find GCF of 32/642, 6256/5945?

GCF of 32/642, 6256/5945

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 32/642, 6256/5945 i.e 16/3816690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/642, 6256/5945.

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 32/642,6256/5945?

Given fractions are 32/642,6256/5945

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 32/642,6256/5945, numerators are 32,6256

Denominators are 642,5945

The GCF of 32,6256 is 16 .

LCM of 642,5945 is 3816690.

The greatest common factor of 32/642,6256/5945 = [GCF of 32,6256]/[LCM of 642,5945]= 16/3816690

Therefore, the GCF of 32/642,6256/5945 is 16/3816690.

Greatest Common Factor of 32,6256

To find the highest common factor of 32,6256, we have to find the factors of both numbers and list the highest common factor.

The factors of 32 are 1, 2, 4, 8, 16, 32

The factors of 6256 are 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256

The HCF of 32,6256 is 16.

Lets's calculate GCF of 32,6256

Greatest Common Factor (GCF) of 32,6256 By Common Division

2	32, 6256
2	16, 3128
2	8, 1564
2	4, 782
	2, 391

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 32,6256 By Matching Biggest Common Factor Method

Now, list down the factors of 32

1,2,4,8,16,32

Now, list down the factors of 6256

1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256

Greatest Common Factor

We found the factors 32,6256 . The biggest common factor number is the GCF number.
So the greatest common factor 32,6256 is 16.

Lets's calculate LCM of 642,5945

Lowest Common Multiple of 642,5945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3816690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3816690

Therefore, the GCF of Fractions 32/642,6256/5945 is 16/3816690

Least Common Multiple of 642,5945 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 642,5945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,5945) = 1

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

GCF(642,5945) x common factors =1 x 1 = 1

LCM(642,5945) = ( 642 × 5945 ) / 1

LCM(642,5945) = 3816690 / 1

LCM(642,5945) = 3816690

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FAQs on GCF of Fractions of 32/642, 6256/5945

1. What is the HCF of 32,6256?

The HCF of 32,6256 is 16

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 32/642, 6256/5945?

Answer: GCF of Numerators as per given numbers 32/642, 6256/5945 is

GCF of Numerators i.e. for 32,6256 is 16

LCM of denominators i.e. for 642,5945 is 3816690.

Thus, GCF of Fractions is 16/3816690.Finally, GCF of Fractions for 32/642, 6256/5945 is 16/3816690.