How to Find GCF of 86/980, 25/652, 668/610?

GCF of 86/980, 25/652, 668/610

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 86/980, 25/652, 668/610 i.e 1/9744140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/980, 25/652, 668/610.

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 86/980,25/652,668/610?

Given fractions are 86/980,25/652,668/610

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 86/980,25/652,668/610, numerators are 86,25,668

Denominators are 980,652,610

The GCF of 86,25,668 is 1 .

LCM of 980,652,610 is 9744140.

The greatest common factor of 86/980,25/652,668/610 = [GCF of 86,25,668]/[LCM of 980,652,610]= 1/9744140

Therefore, the GCF of 86/980,25/652,668/610 is 1/9744140.

Greatest Common Factor of 86,25,668

To find the highest common factor of 86,25,668, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 25 are 1, 5, 25

The factors of 668 are 1, 2, 4, 167, 334, 668

The HCF of 86,25,668 is 1.

Lets's calculate GCF of 86,25,668

Greatest Common Factor (GCF) of 86,25,668 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 86,25,668 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 25

1,5,25

Now, list down the factors of 668

1,2,4,167,334,668

Greatest Common Factor

We found the factors 86,25,668 . The biggest common factor number is the GCF number.
So the greatest common factor 86,25,668 is 1.

Lets's calculate LCM of 980,652,610

Lowest Common Multiple of 980,652,610 using Common Division

2	980, 652, 610
2	490, 326, 305
5	245, 163, 305
	49, 163, 61

∴ So the LCM of the given numbers is 2 x 2 x 5 x 49 x 163 x 61 = 9744140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9744140

Therefore, the GCF of Fractions 86/980,25/652,668/610 is 1/9744140

Least Common Multiple of 980,652,610 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 980,652,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,652,610) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(980,652,610) x common factors =2 x 20 = 40

LCM(980,652,610) = ( 980 × 652 × 610 ) / 40

LCM(980,652,610) = 389765600 / 40

LCM(980,652,610) = 9744140

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 86/980, 25/652, 668/610

1. What is the HCF of 86,25,668?

The HCF of 86,25,668 is 1

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 86/980, 25/652, 668/610?

Answer: GCF of Numerators as per given numbers 86/980, 25/652, 668/610 is

GCF of Numerators i.e. for 86,25,668 is 1

LCM of denominators i.e. for 980,652,610 is 9744140.

Thus, GCF of Fractions is 1/9744140.Finally, GCF of Fractions for 86/980, 25/652, 668/610 is 1/9744140.