How to Find GCF of 5456/664, 3302/7056?

GCF of 5456/664, 3302/7056

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 5456/664, 3302/7056 i.e 2/585648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5456/664, 3302/7056.

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 5456/664,3302/7056?

Given fractions are 5456/664,3302/7056

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 5456/664,3302/7056, numerators are 5456,3302

Denominators are 664,7056

The GCF of 5456,3302 is 2 .

LCM of 664,7056 is 585648.

The greatest common factor of 5456/664,3302/7056 = [GCF of 5456,3302]/[LCM of 664,7056]= 2/585648

Therefore, the GCF of 5456/664,3302/7056 is 2/585648.

Greatest Common Factor of 5456,3302

To find the highest common factor of 5456,3302, we have to find the factors of both numbers and list the highest common factor.

The factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456

The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302

The HCF of 5456,3302 is 2.

Lets's calculate GCF of 5456,3302

Greatest Common Factor (GCF) of 5456,3302 By Common Division

2	5456, 3302
	2728, 1651

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

Greatest Common Factor of 5456,3302 By Matching Biggest Common Factor Method

Now, list down the factors of 5456

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Now, list down the factors of 3302

1,2,13,26,127,254,1651,3302

Greatest Common Factor

We found the factors 5456,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 5456,3302 is 2.

Lets's calculate LCM of 664,7056

Lowest Common Multiple of 664,7056 using Common Division

2	664, 7056
2	332, 3528
2	166, 1764
	83, 882

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 882 = 585648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/585648

Therefore, the GCF of Fractions 5456/664,3302/7056 is 2/585648

Least Common Multiple of 664,7056 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 664,7056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,7056) = 8

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

GCF(664,7056) x common factors =8 x 1 = 8

LCM(664,7056) = ( 664 × 7056 ) / 8

LCM(664,7056) = 4685184 / 8

LCM(664,7056) = 585648

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FAQs on GCF of Fractions of 5456/664, 3302/7056

1. What is the HCF of 5456,3302?

The HCF of 5456,3302 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 5456/664, 3302/7056?

Answer: GCF of Numerators as per given numbers 5456/664, 3302/7056 is

GCF of Numerators i.e. for 5456,3302 is 2

LCM of denominators i.e. for 664,7056 is 585648.

Thus, GCF of Fractions is 2/585648.Finally, GCF of Fractions for 5456/664, 3302/7056 is 2/585648.