How to Find GCF of 88/70, 155/19, 162/362?

GCF of 88/70, 155/19, 162/362

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 88/70, 155/19, 162/362 i.e 1/240730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/70, 155/19, 162/362.

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 88/70,155/19,162/362?

Given fractions are 88/70,155/19,162/362

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 88/70,155/19,162/362, numerators are 88,155,162

Denominators are 70,19,362

The GCF of 88,155,162 is 1 .

LCM of 70,19,362 is 240730.

The greatest common factor of 88/70,155/19,162/362 = [GCF of 88,155,162]/[LCM of 70,19,362]= 1/240730

Therefore, the GCF of 88/70,155/19,162/362 is 1/240730.

Greatest Common Factor of 88,155,162

To find the highest common factor of 88,155,162, 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 155 are 1, 5, 31, 155

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The HCF of 88,155,162 is 1.

Lets's calculate GCF of 88,155,162

Greatest Common Factor (GCF) of 88,155,162 By Common Division

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

Greatest Common Factor of 88,155,162 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 155

1,5,31,155

Now, list down the factors of 162

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 88,155,162 . The biggest common factor number is the GCF number.
So the greatest common factor 88,155,162 is 1.

Lets's calculate LCM of 70,19,362

Lowest Common Multiple of 70,19,362 using Common Division

2	70, 19, 362
	35, 19, 181

∴ So the LCM of the given numbers is 2 x 35 x 19 x 181 = 240730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240730

Therefore, the GCF of Fractions 88/70,155/19,162/362 is 1/240730

Least Common Multiple of 70,19,362 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 70,19,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,19,362) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(70,19,362) x common factors =1 x 2 = 2

LCM(70,19,362) = ( 70 × 19 × 362 ) / 2

LCM(70,19,362) = 481460 / 2

LCM(70,19,362) = 240730

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 88/70, 155/19, 162/362

1. What is the HCF of 88,155,162?

The HCF of 88,155,162 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 88/70, 155/19, 162/362?

Answer: GCF of Numerators as per given numbers 88/70, 155/19, 162/362 is

GCF of Numerators i.e. for 88,155,162 is 1

LCM of denominators i.e. for 70,19,362 is 240730.

Thus, GCF of Fractions is 1/240730.Finally, GCF of Fractions for 88/70, 155/19, 162/362 is 1/240730.