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GCF of 4532/906, 3458/4904

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 4532/906, 3458/4904 i.e 2/2221512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4532/906, 3458/4904.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4532/906,3458/4904?

Given fractions are 4532/906,3458/4904

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 4532/906,3458/4904, numerators are 4532,3458

Denominators are 906,4904

The GCF of 4532,3458 is 2 .

LCM of 906,4904 is 2221512.

The greatest common factor of 4532/906,3458/4904 = [GCF of 4532,3458]/[LCM of 906,4904]= 2/2221512

Therefore, the GCF of 4532/906,3458/4904 is 2/2221512.

Greatest Common Factor of 4532,3458

To find the highest common factor of 4532,3458, we have to find the factors of both numbers and list the highest common factor.

The factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532

The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458

The HCF of 4532,3458 is 2.

Lets's calculate GCF of 4532,3458

Greatest Common Factor (GCF) of 4532,3458 By Common Division

2 4532, 3458
2266, 1729

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

Greatest Common Factor of 4532,3458 By Matching Biggest Common Factor Method

Greatest Common Factor of 4532,3458 By Matching Biggest Common Factor Method

Now, list down the factors of 4532

:

1,2,4,11,22,44,103,206,412,1133,2266,4532

Now, list down the factors of 3458

:

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 4532,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 4532,3458 is 2.


Lets's calculate LCM of 906,4904

Lowest Common Multiple of 906,4904 using Common Division

2 906, 4904
453, 2452

∴ So the LCM of the given numbers is 2 x 453 x 2452 = 2221512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2221512

Therefore, the GCF of Fractions 4532/906,3458/4904 is 2/2221512

Least Common Multiple of 906,4904 with GCF Formula

Least Common Multiple of 906,4904 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 906,4904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,4904) = 2

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

GCF(906,4904) x common factors =2 x 1 = 2

LCM(906,4904) = ( 906 × 4904 ) / 2

LCM(906,4904) = 4443024 / 2

LCM(906,4904) = 2221512


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4532/906, 3458/4904

1. What is the HCF of 4532,3458?

The HCF of 4532,3458 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 4532/906, 3458/4904?

Answer: GCF of Numerators as per given numbers 4532/906, 3458/4904 is

GCF of Numerators i.e. for 4532,3458 is 2

LCM of denominators i.e. for 906,4904 is 2221512.

Thus, GCF of Fractions is 2/2221512.Finally, GCF of Fractions for 4532/906, 3458/4904 is 2/2221512.