How to Find GCF of 4456/466, 6496/6396?

GCF of 4456/466, 6496/6396

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 4456/466, 6496/6396 i.e 8/1490268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4456/466, 6496/6396.

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 4456/466,6496/6396?

Given fractions are 4456/466,6496/6396

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 4456/466,6496/6396, numerators are 4456,6496

Denominators are 466,6396

The GCF of 4456,6496 is 8 .

LCM of 466,6396 is 1490268.

The greatest common factor of 4456/466,6496/6396 = [GCF of 4456,6496]/[LCM of 466,6396]= 8/1490268

Therefore, the GCF of 4456/466,6496/6396 is 8/1490268.

Greatest Common Factor of 4456,6496

To find the highest common factor of 4456,6496, 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 6496 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248, 6496

The HCF of 4456,6496 is 8.

Lets's calculate GCF of 4456,6496

Greatest Common Factor (GCF) of 4456,6496 By Common Division

2	4456, 6496
2	2228, 3248
2	1114, 1624
	557, 812

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4456,6496 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 6496

1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496

Greatest Common Factor

We found the factors 4456,6496 . The biggest common factor number is the GCF number.
So the greatest common factor 4456,6496 is 8.

Lets's calculate LCM of 466,6396

Lowest Common Multiple of 466,6396 using Common Division

2	466, 6396
	233, 3198

∴ So the LCM of the given numbers is 2 x 233 x 3198 = 1490268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1490268

Therefore, the GCF of Fractions 4456/466,6496/6396 is 8/1490268

Least Common Multiple of 466,6396 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 466,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,6396) = 2

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

GCF(466,6396) x common factors =2 x 1 = 2

LCM(466,6396) = ( 466 × 6396 ) / 2

LCM(466,6396) = 2980536 / 2

LCM(466,6396) = 1490268

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FAQs on GCF of Fractions of 4456/466, 6496/6396

1. What is the HCF of 4456,6496?

The HCF of 4456,6496 is 8

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 4456/466, 6496/6396?

Answer: GCF of Numerators as per given numbers 4456/466, 6496/6396 is

GCF of Numerators i.e. for 4456,6496 is 8

LCM of denominators i.e. for 466,6396 is 1490268.

Thus, GCF of Fractions is 8/1490268.Finally, GCF of Fractions for 4456/466, 6496/6396 is 8/1490268.