How to Find GCF of 4456/156, 3634/822?

GCF of 4456/156, 3634/822

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 4456/156, 3634/822 i.e 2/21372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4456/156, 3634/822.

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 4456/156,3634/822?

Given fractions are 4456/156,3634/822

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 4456/156,3634/822, numerators are 4456,3634

Denominators are 156,822

The GCF of 4456,3634 is 2 .

LCM of 156,822 is 21372.

The greatest common factor of 4456/156,3634/822 = [GCF of 4456,3634]/[LCM of 156,822]= 2/21372

Therefore, the GCF of 4456/156,3634/822 is 2/21372.

Greatest Common Factor of 4456,3634

To find the highest common factor of 4456,3634, we have to find the factors of both numbers and list the highest common factor.

The factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456

The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634

The HCF of 4456,3634 is 2.

Lets's calculate GCF of 4456,3634

Greatest Common Factor (GCF) of 4456,3634 By Common Division

2	4456, 3634
	2228, 1817

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

Greatest Common Factor of 4456,3634 By Matching Biggest Common Factor Method

Now, list down the factors of 4456

1,2,4,8,557,1114,2228,4456

Now, list down the factors of 3634

1,2,23,46,79,158,1817,3634

Greatest Common Factor

We found the factors 4456,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 4456,3634 is 2.

Lets's calculate LCM of 156,822

Lowest Common Multiple of 156,822 using Common Division

2	156, 822
3	78, 411
	26, 137

∴ So the LCM of the given numbers is 2 x 3 x 26 x 137 = 21372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21372

Therefore, the GCF of Fractions 4456/156,3634/822 is 2/21372

Least Common Multiple of 156,822 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 156,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,822) = 6

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

GCF(156,822) x common factors =6 x 1 = 6

LCM(156,822) = ( 156 × 822 ) / 6

LCM(156,822) = 128232 / 6

LCM(156,822) = 21372

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FAQs on GCF of Fractions of 4456/156, 3634/822

1. What is the HCF of 4456,3634?

The HCF of 4456,3634 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 4456/156, 3634/822?

Answer: GCF of Numerators as per given numbers 4456/156, 3634/822 is

GCF of Numerators i.e. for 4456,3634 is 2

LCM of denominators i.e. for 156,822 is 21372.

Thus, GCF of Fractions is 2/21372.Finally, GCF of Fractions for 4456/156, 3634/822 is 2/21372.