How to Find GCF of 221/604, 390/953?

GCF of 221/604, 390/953

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 221/604, 390/953 i.e 13/575612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 221/604, 390/953.

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 221/604,390/953?

Given fractions are 221/604,390/953

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 221/604,390/953, numerators are 221,390

Denominators are 604,953

The GCF of 221,390 is 13 .

LCM of 604,953 is 575612.

The greatest common factor of 221/604,390/953 = [GCF of 221,390]/[LCM of 604,953]= 13/575612

Therefore, the GCF of 221/604,390/953 is 13/575612.

Greatest Common Factor of 221,390

To find the highest common factor of 221,390, we have to find the factors of both numbers and list the highest common factor.

The factors of 221 are 1, 13, 17, 221

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

The HCF of 221,390 is 13.

Lets's calculate GCF of 221,390

Greatest Common Factor (GCF) of 221,390 By Common Division

13	221, 390
	17, 30

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 221,390 By Matching Biggest Common Factor Method

Now, list down the factors of 221

1,13,17,221

Now, list down the factors of 390

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 221,390 . The biggest common factor number is the GCF number.
So the greatest common factor 221,390 is 13.

Lets's calculate LCM of 604,953

Lowest Common Multiple of 604,953 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 575612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/575612

Therefore, the GCF of Fractions 221/604,390/953 is 13/575612

Least Common Multiple of 604,953 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 604,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,953) = 1

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

GCF(604,953) x common factors =1 x 1 = 1

LCM(604,953) = ( 604 × 953 ) / 1

LCM(604,953) = 575612 / 1

LCM(604,953) = 575612

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FAQs on GCF of Fractions of 221/604, 390/953

1. What is the HCF of 221,390?

The HCF of 221,390 is 13

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 221/604, 390/953?

Answer: GCF of Numerators as per given numbers 221/604, 390/953 is

GCF of Numerators i.e. for 221,390 is 13

LCM of denominators i.e. for 604,953 is 575612.

Thus, GCF of Fractions is 13/575612.Finally, GCF of Fractions for 221/604, 390/953 is 13/575612.