How to Find GCF of 492/88, 686/3205?

GCF of 492/88, 686/3205

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 492/88, 686/3205 i.e 2/282040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/88, 686/3205.

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 492/88,686/3205?

Given fractions are 492/88,686/3205

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 492/88,686/3205, numerators are 492,686

Denominators are 88,3205

The GCF of 492,686 is 2 .

LCM of 88,3205 is 282040.

The greatest common factor of 492/88,686/3205 = [GCF of 492,686]/[LCM of 88,3205]= 2/282040

Therefore, the GCF of 492/88,686/3205 is 2/282040.

Greatest Common Factor of 492,686

To find the highest common factor of 492,686, we have to find the factors of both numbers and list the highest common factor.

The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686

The HCF of 492,686 is 2.

Lets's calculate GCF of 492,686

Greatest Common Factor (GCF) of 492,686 By Common Division

2	492, 686
	246, 343

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

Greatest Common Factor of 492,686 By Matching Biggest Common Factor Method

Now, list down the factors of 492

1,2,3,4,6,12,41,82,123,164,246,492

Now, list down the factors of 686

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 492,686 . The biggest common factor number is the GCF number.
So the greatest common factor 492,686 is 2.

Lets's calculate LCM of 88,3205

Lowest Common Multiple of 88,3205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 282040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282040

Therefore, the GCF of Fractions 492/88,686/3205 is 2/282040

Least Common Multiple of 88,3205 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 88,3205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,3205) = 1

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

GCF(88,3205) x common factors =1 x 1 = 1

LCM(88,3205) = ( 88 × 3205 ) / 1

LCM(88,3205) = 282040 / 1

LCM(88,3205) = 282040

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 492/88, 686/3205

1. What is the HCF of 492,686?

The HCF of 492,686 is 2

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 492/88, 686/3205?

Answer: GCF of Numerators as per given numbers 492/88, 686/3205 is

GCF of Numerators i.e. for 492,686 is 2

LCM of denominators i.e. for 88,3205 is 282040.

Thus, GCF of Fractions is 2/282040.Finally, GCF of Fractions for 492/88, 686/3205 is 2/282040.