How to Find GCF of 670/736, 300/558?

GCF of 670/736, 300/558

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 670/736, 300/558 i.e 10/205344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 670/736, 300/558.

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 670/736,300/558?

Given fractions are 670/736,300/558

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 670/736,300/558, numerators are 670,300

Denominators are 736,558

The GCF of 670,300 is 10 .

LCM of 736,558 is 205344.

The greatest common factor of 670/736,300/558 = [GCF of 670,300]/[LCM of 736,558]= 10/205344

Therefore, the GCF of 670/736,300/558 is 10/205344.

Greatest Common Factor of 670,300

To find the highest common factor of 670,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

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 670,300 is 10.

Lets's calculate GCF of 670,300

Greatest Common Factor (GCF) of 670,300 By Common Division

2	670, 300
5	335, 150
	67, 30

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 670,300 By Matching Biggest Common Factor Method

Now, list down the factors of 670

1,2,5,10,67,134,335,670

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 670,300 . The biggest common factor number is the GCF number.
So the greatest common factor 670,300 is 10.

Lets's calculate LCM of 736,558

Lowest Common Multiple of 736,558 using Common Division

2	736, 558
	368, 279

∴ So the LCM of the given numbers is 2 x 368 x 279 = 205344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/205344

Therefore, the GCF of Fractions 670/736,300/558 is 10/205344

Least Common Multiple of 736,558 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 736,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,558) = 2

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

GCF(736,558) x common factors =2 x 1 = 2

LCM(736,558) = ( 736 × 558 ) / 2

LCM(736,558) = 410688 / 2

LCM(736,558) = 205344

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 670/736, 300/558

1. What is the HCF of 670,300?

The HCF of 670,300 is 10

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 670/736, 300/558?

Answer: GCF of Numerators as per given numbers 670/736, 300/558 is

GCF of Numerators i.e. for 670,300 is 10

LCM of denominators i.e. for 736,558 is 205344.

Thus, GCF of Fractions is 10/205344.Finally, GCF of Fractions for 670/736, 300/558 is 10/205344.