How to Find GCF of 444/589, 620/785?

GCF of 444/589, 620/785

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 444/589, 620/785 i.e 4/462365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/589, 620/785.

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 444/589,620/785?

Given fractions are 444/589,620/785

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 444/589,620/785, numerators are 444,620

Denominators are 589,785

The GCF of 444,620 is 4 .

LCM of 589,785 is 462365.

The greatest common factor of 444/589,620/785 = [GCF of 444,620]/[LCM of 589,785]= 4/462365

Therefore, the GCF of 444/589,620/785 is 4/462365.

Greatest Common Factor of 444,620

To find the highest common factor of 444,620, we have to find the factors of both numbers and list the highest common factor.

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

The HCF of 444,620 is 4.

Lets's calculate GCF of 444,620

Greatest Common Factor (GCF) of 444,620 By Common Division

2	444, 620
2	222, 310
	111, 155

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 444,620 By Matching Biggest Common Factor Method

Now, list down the factors of 444

1,2,3,4,6,12,37,74,111,148,222,444

Now, list down the factors of 620

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 444,620 . The biggest common factor number is the GCF number.
So the greatest common factor 444,620 is 4.

Lets's calculate LCM of 589,785

Lowest Common Multiple of 589,785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 462365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/462365

Therefore, the GCF of Fractions 444/589,620/785 is 4/462365

Least Common Multiple of 589,785 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 589,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,785) = 1

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

GCF(589,785) x common factors =1 x 1 = 1

LCM(589,785) = ( 589 × 785 ) / 1

LCM(589,785) = 462365 / 1

LCM(589,785) = 462365

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FAQs on GCF of Fractions of 444/589, 620/785

1. What is the HCF of 444,620?

The HCF of 444,620 is 4

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 444/589, 620/785?

Answer: GCF of Numerators as per given numbers 444/589, 620/785 is

GCF of Numerators i.e. for 444,620 is 4

LCM of denominators i.e. for 589,785 is 462365.

Thus, GCF of Fractions is 4/462365.Finally, GCF of Fractions for 444/589, 620/785 is 4/462365.