How to Find GCF of 85/44, 29/77, 999/664?

GCF of 85/44, 29/77, 999/664

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 85/44, 29/77, 999/664 i.e 1/51128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/44, 29/77, 999/664.

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 85/44,29/77,999/664?

Given fractions are 85/44,29/77,999/664

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 85/44,29/77,999/664, numerators are 85,29,999

Denominators are 44,77,664

The GCF of 85,29,999 is 1 .

LCM of 44,77,664 is 51128.

The greatest common factor of 85/44,29/77,999/664 = [GCF of 85,29,999]/[LCM of 44,77,664]= 1/51128

Therefore, the GCF of 85/44,29/77,999/664 is 1/51128.

Greatest Common Factor of 85,29,999

To find the highest common factor of 85,29,999, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

The factors of 29 are 1, 29

The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999

The HCF of 85,29,999 is 1.

Lets's calculate GCF of 85,29,999

Greatest Common Factor (GCF) of 85,29,999 By Common Division

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

Greatest Common Factor of 85,29,999 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 29

1,29

Now, list down the factors of 999

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 85,29,999 . The biggest common factor number is the GCF number.
So the greatest common factor 85,29,999 is 1.

Lets's calculate LCM of 44,77,664

Lowest Common Multiple of 44,77,664 using Common Division

2	44, 77, 664
2	22, 77, 332
11	11, 77, 166
	1, 7, 166

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 7 x 166 = 51128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51128

Therefore, the GCF of Fractions 85/44,29/77,999/664 is 1/51128

Least Common Multiple of 44,77,664 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 44,77,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,77,664) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(44,77,664) x common factors =1 x 44 = 44

LCM(44,77,664) = ( 44 × 77 × 664 ) / 44

LCM(44,77,664) = 2249632 / 44

LCM(44,77,664) = 51128

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 85/44, 29/77, 999/664

1. What is the HCF of 85,29,999?

The HCF of 85,29,999 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 85/44, 29/77, 999/664?

Answer: GCF of Numerators as per given numbers 85/44, 29/77, 999/664 is

GCF of Numerators i.e. for 85,29,999 is 1

LCM of denominators i.e. for 44,77,664 is 51128.

Thus, GCF of Fractions is 1/51128.Finally, GCF of Fractions for 85/44, 29/77, 999/664 is 1/51128.