How to Find GCF of 1115/904, 1459/6032?

GCF of 1115/904, 1459/6032

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 1115/904, 1459/6032 i.e 1/681616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1115/904, 1459/6032.

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 1115/904,1459/6032?

Given fractions are 1115/904,1459/6032

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 1115/904,1459/6032, numerators are 1115,1459

Denominators are 904,6032

The GCF of 1115,1459 is 1 .

LCM of 904,6032 is 681616.

The greatest common factor of 1115/904,1459/6032 = [GCF of 1115,1459]/[LCM of 904,6032]= 1/681616

Therefore, the GCF of 1115/904,1459/6032 is 1/681616.

Greatest Common Factor of 1115,1459

To find the highest common factor of 1115,1459, we have to find the factors of both numbers and list the highest common factor.

The factors of 1115 are 1, 5, 223, 1115

The factors of 1459 are 1, 1459

The HCF of 1115,1459 is 1.

Lets's calculate GCF of 1115,1459

Greatest Common Factor (GCF) of 1115,1459 By Common Division

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

Greatest Common Factor of 1115,1459 By Matching Biggest Common Factor Method

Now, list down the factors of 1115

1,5,223,1115

Now, list down the factors of 1459

1,1459

Greatest Common Factor

We found the factors 1115,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 1115,1459 is 1.

Lets's calculate LCM of 904,6032

Lowest Common Multiple of 904,6032 using Common Division

2	904, 6032
2	452, 3016
2	226, 1508
	113, 754

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 754 = 681616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/681616

Therefore, the GCF of Fractions 1115/904,1459/6032 is 1/681616

Least Common Multiple of 904,6032 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 904,6032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,6032) = 8

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

GCF(904,6032) x common factors =8 x 1 = 8

LCM(904,6032) = ( 904 × 6032 ) / 8

LCM(904,6032) = 5452928 / 8

LCM(904,6032) = 681616

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1115/904, 1459/6032

1. What is the HCF of 1115,1459?

The HCF of 1115,1459 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 1115/904, 1459/6032?

Answer: GCF of Numerators as per given numbers 1115/904, 1459/6032 is

GCF of Numerators i.e. for 1115,1459 is 1

LCM of denominators i.e. for 904,6032 is 681616.

Thus, GCF of Fractions is 1/681616.Finally, GCF of Fractions for 1115/904, 1459/6032 is 1/681616.