How to Find GCF of 88/554, 73/896, 155/632?

GCF of 88/554, 73/896, 155/632

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 88/554, 73/896, 155/632 i.e 1/19607168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/554, 73/896, 155/632.

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 88/554,73/896,155/632?

Given fractions are 88/554,73/896,155/632

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 88/554,73/896,155/632, numerators are 88,73,155

Denominators are 554,896,632

The GCF of 88,73,155 is 1 .

LCM of 554,896,632 is 19607168.

The greatest common factor of 88/554,73/896,155/632 = [GCF of 88,73,155]/[LCM of 554,896,632]= 1/19607168

Therefore, the GCF of 88/554,73/896,155/632 is 1/19607168.

Greatest Common Factor of 88,73,155

To find the highest common factor of 88,73,155, 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 73 are 1, 73

The factors of 155 are 1, 5, 31, 155

The HCF of 88,73,155 is 1.

Lets's calculate GCF of 88,73,155

Greatest Common Factor (GCF) of 88,73,155 By Common Division

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

Greatest Common Factor of 88,73,155 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 73

1,73

Now, list down the factors of 155

1,5,31,155

Greatest Common Factor

We found the factors 88,73,155 . The biggest common factor number is the GCF number.
So the greatest common factor 88,73,155 is 1.

Lets's calculate LCM of 554,896,632

Lowest Common Multiple of 554,896,632 using Common Division

2	554, 896, 632
2	277, 448, 316
2	277, 224, 158
	277, 112, 79

∴ So the LCM of the given numbers is 2 x 2 x 2 x 277 x 112 x 79 = 19607168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19607168

Therefore, the GCF of Fractions 88/554,73/896,155/632 is 1/19607168

Least Common Multiple of 554,896,632 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 554,896,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,896,632) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(554,896,632) x common factors =2 x 8 = 16

LCM(554,896,632) = ( 554 × 896 × 632 ) / 16

LCM(554,896,632) = 313714688 / 16

LCM(554,896,632) = 19607168

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 88/554, 73/896, 155/632

1. What is the HCF of 88,73,155?

The HCF of 88,73,155 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 88/554, 73/896, 155/632?

Answer: GCF of Numerators as per given numbers 88/554, 73/896, 155/632 is

GCF of Numerators i.e. for 88,73,155 is 1

LCM of denominators i.e. for 554,896,632 is 19607168.

Thus, GCF of Fractions is 1/19607168.Finally, GCF of Fractions for 88/554, 73/896, 155/632 is 1/19607168.