How to Find GCF of 588/196, 620/746?

GCF of 588/196, 620/746

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 588/196, 620/746 i.e 4/73108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 588/196, 620/746.

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 588/196,620/746?

Given fractions are 588/196,620/746

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 588/196,620/746, numerators are 588,620

Denominators are 196,746

The GCF of 588,620 is 4 .

LCM of 196,746 is 73108.

The greatest common factor of 588/196,620/746 = [GCF of 588,620]/[LCM of 196,746]= 4/73108

Therefore, the GCF of 588/196,620/746 is 4/73108.

Greatest Common Factor of 588,620

To find the highest common factor of 588,620, we have to find the factors of both numbers and list the highest common factor.

The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

The HCF of 588,620 is 4.

Lets's calculate GCF of 588,620

Greatest Common Factor (GCF) of 588,620 By Common Division

2	588, 620
2	294, 310
	147, 155

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

Greatest Common Factor of 588,620 By Matching Biggest Common Factor Method

Now, list down the factors of 588

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

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 588,620 . The biggest common factor number is the GCF number.
So the greatest common factor 588,620 is 4.

Lets's calculate LCM of 196,746

Lowest Common Multiple of 196,746 using Common Division

2	196, 746
	98, 373

∴ So the LCM of the given numbers is 2 x 98 x 373 = 73108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/73108

Therefore, the GCF of Fractions 588/196,620/746 is 4/73108

Least Common Multiple of 196,746 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 196,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,746) = 2

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

GCF(196,746) x common factors =2 x 1 = 2

LCM(196,746) = ( 196 × 746 ) / 2

LCM(196,746) = 146216 / 2

LCM(196,746) = 73108

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 588/196, 620/746

1. What is the HCF of 588,620?

The HCF of 588,620 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 588/196, 620/746?

Answer: GCF of Numerators as per given numbers 588/196, 620/746 is

GCF of Numerators i.e. for 588,620 is 4

LCM of denominators i.e. for 196,746 is 73108.

Thus, GCF of Fractions is 4/73108.Finally, GCF of Fractions for 588/196, 620/746 is 4/73108.