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GCF of 432/898, 6590/203

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 432/898, 6590/203 i.e 2/182294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/898, 6590/203.

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 432/898,6590/203?

Given fractions are 432/898,6590/203

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 432/898,6590/203, numerators are 432,6590

Denominators are 898,203

The GCF of 432,6590 is 2 .

LCM of 898,203 is 182294.

The greatest common factor of 432/898,6590/203 = [GCF of 432,6590]/[LCM of 898,203]= 2/182294

Therefore, the GCF of 432/898,6590/203 is 2/182294.

Greatest Common Factor of 432,6590

To find the highest common factor of 432,6590, we have to find the factors of both numbers and list the highest common factor.

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

The factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590

The HCF of 432,6590 is 2.

Lets's calculate GCF of 432,6590

Greatest Common Factor (GCF) of 432,6590 By Common Division

2 432, 6590
216, 3295

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

Greatest Common Factor of 432,6590 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,6590 By Matching Biggest Common Factor Method

Now, list down the factors of 432

:

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Now, list down the factors of 6590

:

1,2,5,10,659,1318,3295,6590

Greatest Common Factor

We found the factors 432,6590 . The biggest common factor number is the GCF number.
So the greatest common factor 432,6590 is 2.


Lets's calculate LCM of 898,203

Lowest Common Multiple of 898,203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 182294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182294

Therefore, the GCF of Fractions 432/898,6590/203 is 2/182294

Least Common Multiple of 898,203 with GCF Formula

Least Common Multiple of 898,203 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 898,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,203) = 1

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

GCF(898,203) x common factors =1 x 1 = 1

LCM(898,203) = ( 898 × 203 ) / 1

LCM(898,203) = 182294 / 1

LCM(898,203) = 182294


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 432/898, 6590/203

1. What is the HCF of 432,6590?

The HCF of 432,6590 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 432/898, 6590/203?

Answer: GCF of Numerators as per given numbers 432/898, 6590/203 is

GCF of Numerators i.e. for 432,6590 is 2

LCM of denominators i.e. for 898,203 is 182294.

Thus, GCF of Fractions is 2/182294.Finally, GCF of Fractions for 432/898, 6590/203 is 2/182294.