How to Find GCF of 88/46, 31/65, 986/598?

GCF of 88/46, 31/65, 986/598

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 88/46, 31/65, 986/598 i.e 1/2990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/46, 31/65, 986/598.

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 88/46,31/65,986/598?

Given fractions are 88/46,31/65,986/598

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 88/46,31/65,986/598, numerators are 88,31,986

Denominators are 46,65,598

The GCF of 88,31,986 is 1 .

LCM of 46,65,598 is 2990.

The greatest common factor of 88/46,31/65,986/598 = [GCF of 88,31,986]/[LCM of 46,65,598]= 1/2990

Therefore, the GCF of 88/46,31/65,986/598 is 1/2990.

Greatest Common Factor of 88,31,986

To find the highest common factor of 88,31,986, we have to find the factors of both numbers and list the highest common factor.

The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

The factors of 31 are 1, 31

The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986

The HCF of 88,31,986 is 1.

Lets's calculate GCF of 88,31,986

Greatest Common Factor (GCF) of 88,31,986 By Common Division

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

Greatest Common Factor of 88,31,986 By Matching Biggest Common Factor Method

Now, list down the factors of 88

1,2,4,8,11,22,44,88

Now, list down the factors of 31

1,31

Now, list down the factors of 986

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 88,31,986 . The biggest common factor number is the GCF number.
So the greatest common factor 88,31,986 is 1.

Lets's calculate LCM of 46,65,598

Lowest Common Multiple of 46,65,598 using Common Division

2	46, 65, 598
13	23, 65, 299
23	23, 5, 23
	1, 5, 1

∴ So the LCM of the given numbers is 2 x 13 x 23 x 1 x 5 x 1 = 2990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2990

Therefore, the GCF of Fractions 88/46,31/65,986/598 is 1/2990

Least Common Multiple of 46,65,598 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 46,65,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,65,598) = 1

common factors(in case of two or more numbers have common factors) = 598

GCF(46,65,598) x common factors =1 x 598 = 598

LCM(46,65,598) = ( 46 × 65 × 598 ) / 598

LCM(46,65,598) = 1788020 / 598

LCM(46,65,598) = 2990

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 88/46, 31/65, 986/598

1. What is the HCF of 88,31,986?

The HCF of 88,31,986 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 88/46, 31/65, 986/598?

Answer: GCF of Numerators as per given numbers 88/46, 31/65, 986/598 is

GCF of Numerators i.e. for 88,31,986 is 1

LCM of denominators i.e. for 46,65,598 is 2990.

Thus, GCF of Fractions is 1/2990.Finally, GCF of Fractions for 88/46, 31/65, 986/598 is 1/2990.