How to Find GCF of 439/485, 140/551, 209/252?

GCF of 439/485, 140/551, 209/252

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 439/485, 140/551, 209/252 i.e 1/67343220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/485, 140/551, 209/252.

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 439/485,140/551,209/252?

Given fractions are 439/485,140/551,209/252

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 439/485,140/551,209/252, numerators are 439,140,209

Denominators are 485,551,252

The GCF of 439,140,209 is 1 .

LCM of 485,551,252 is 67343220.

The greatest common factor of 439/485,140/551,209/252 = [GCF of 439,140,209]/[LCM of 485,551,252]= 1/67343220

Therefore, the GCF of 439/485,140/551,209/252 is 1/67343220.

Greatest Common Factor of 439,140,209

To find the highest common factor of 439,140,209, we have to find the factors of both numbers and list the highest common factor.

The factors of 439 are 1, 439

The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

The factors of 209 are 1, 11, 19, 209

The HCF of 439,140,209 is 1.

Lets's calculate GCF of 439,140,209

Greatest Common Factor (GCF) of 439,140,209 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 439,140,209 By Matching Biggest Common Factor Method

Now, list down the factors of 439

1,439

Now, list down the factors of 140

1,2,4,5,7,10,14,20,28,35,70,140

Now, list down the factors of 209

1,11,19,209

Greatest Common Factor

We found the factors 439,140,209 . The biggest common factor number is the GCF number.
So the greatest common factor 439,140,209 is 1.

Lets's calculate LCM of 485,551,252

Lowest Common Multiple of 485,551,252 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67343220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67343220

Therefore, the GCF of Fractions 439/485,140/551,209/252 is 1/67343220

Least Common Multiple of 485,551,252 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 485,551,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,551,252) = 1

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

GCF(485,551,252) x common factors =1 x 1 = 1

LCM(485,551,252) = ( 485 × 551 × 252 ) / 1

LCM(485,551,252) = 67343220 / 1

LCM(485,551,252) = 67343220

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FAQs on GCF of Fractions of 439/485, 140/551, 209/252

1. What is the HCF of 439,140,209?

The HCF of 439,140,209 is 1

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 439/485, 140/551, 209/252?

Answer: GCF of Numerators as per given numbers 439/485, 140/551, 209/252 is

GCF of Numerators i.e. for 439,140,209 is 1

LCM of denominators i.e. for 485,551,252 is 67343220.

Thus, GCF of Fractions is 1/67343220.Finally, GCF of Fractions for 439/485, 140/551, 209/252 is 1/67343220.