How to Find GCF of 1885/388, 1218/8592?

GCF of 1885/388, 1218/8592

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 1885/388, 1218/8592 i.e 29/833424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1885/388, 1218/8592.

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 1885/388,1218/8592?

Given fractions are 1885/388,1218/8592

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 1885/388,1218/8592, numerators are 1885,1218

Denominators are 388,8592

The GCF of 1885,1218 is 29 .

LCM of 388,8592 is 833424.

The greatest common factor of 1885/388,1218/8592 = [GCF of 1885,1218]/[LCM of 388,8592]= 29/833424

Therefore, the GCF of 1885/388,1218/8592 is 29/833424.

Greatest Common Factor of 1885,1218

To find the highest common factor of 1885,1218, we have to find the factors of both numbers and list the highest common factor.

The factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885

The factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218

The HCF of 1885,1218 is 29.

Lets's calculate GCF of 1885,1218

Greatest Common Factor (GCF) of 1885,1218 By Common Division

29	1885, 1218
	65, 42

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 1885,1218 By Matching Biggest Common Factor Method

Now, list down the factors of 1885

1,5,13,29,65,145,377,1885

Now, list down the factors of 1218

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Greatest Common Factor

We found the factors 1885,1218 . The biggest common factor number is the GCF number.
So the greatest common factor 1885,1218 is 29.

Lets's calculate LCM of 388,8592

Lowest Common Multiple of 388,8592 using Common Division

2	388, 8592
2	194, 4296
	97, 2148

∴ So the LCM of the given numbers is 2 x 2 x 97 x 2148 = 833424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/833424

Therefore, the GCF of Fractions 1885/388,1218/8592 is 29/833424

Least Common Multiple of 388,8592 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 388,8592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,8592) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(388,8592) x common factors =4 x 1 = 4

LCM(388,8592) = ( 388 × 8592 ) / 4

LCM(388,8592) = 3333696 / 4

LCM(388,8592) = 833424

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FAQs on GCF of Fractions of 1885/388, 1218/8592

1. What is the HCF of 1885,1218?

The HCF of 1885,1218 is 29

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 1885/388, 1218/8592?

Answer: GCF of Numerators as per given numbers 1885/388, 1218/8592 is

GCF of Numerators i.e. for 1885,1218 is 29

LCM of denominators i.e. for 388,8592 is 833424.

Thus, GCF of Fractions is 29/833424.Finally, GCF of Fractions for 1885/388, 1218/8592 is 29/833424.