How to Find GCF of 594/655, 300/850?

GCF of 594/655, 300/850

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 594/655, 300/850 i.e 6/111350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/655, 300/850.

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 594/655,300/850?

Given fractions are 594/655,300/850

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 594/655,300/850, numerators are 594,300

Denominators are 655,850

The GCF of 594,300 is 6 .

LCM of 655,850 is 111350.

The greatest common factor of 594/655,300/850 = [GCF of 594,300]/[LCM of 655,850]= 6/111350

Therefore, the GCF of 594/655,300/850 is 6/111350.

Greatest Common Factor of 594,300

To find the highest common factor of 594,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 594,300 is 6.

Lets's calculate GCF of 594,300

Greatest Common Factor (GCF) of 594,300 By Common Division

2	594, 300
3	297, 150
	99, 50

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 594,300 By Matching Biggest Common Factor Method

Now, list down the factors of 594

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Now, list down the factors of 300

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 594,300 . The biggest common factor number is the GCF number.
So the greatest common factor 594,300 is 6.

Lets's calculate LCM of 655,850

Lowest Common Multiple of 655,850 using Common Division

5	655, 850
	131, 170

∴ So the LCM of the given numbers is 5 x 131 x 170 = 111350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/111350

Therefore, the GCF of Fractions 594/655,300/850 is 6/111350

Least Common Multiple of 655,850 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 655,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,850) = 5

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

GCF(655,850) x common factors =5 x 1 = 5

LCM(655,850) = ( 655 × 850 ) / 5

LCM(655,850) = 556750 / 5

LCM(655,850) = 111350

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FAQs on GCF of Fractions of 594/655, 300/850

1. What is the HCF of 594,300?

The HCF of 594,300 is 6

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 594/655, 300/850?

Answer: GCF of Numerators as per given numbers 594/655, 300/850 is

GCF of Numerators i.e. for 594,300 is 6

LCM of denominators i.e. for 655,850 is 111350.

Thus, GCF of Fractions is 6/111350.Finally, GCF of Fractions for 594/655, 300/850 is 6/111350.