How to Find GCF of 1016/285, 4016/4129?

GCF of 1016/285, 4016/4129

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 1016/285, 4016/4129 i.e 8/1176765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1016/285, 4016/4129.

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 1016/285,4016/4129?

Given fractions are 1016/285,4016/4129

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 1016/285,4016/4129, numerators are 1016,4016

Denominators are 285,4129

The GCF of 1016,4016 is 8 .

LCM of 285,4129 is 1176765.

The greatest common factor of 1016/285,4016/4129 = [GCF of 1016,4016]/[LCM of 285,4129]= 8/1176765

Therefore, the GCF of 1016/285,4016/4129 is 8/1176765.

Greatest Common Factor of 1016,4016

To find the highest common factor of 1016,4016, we have to find the factors of both numbers and list the highest common factor.

The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016

The factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016

The HCF of 1016,4016 is 8.

Lets's calculate GCF of 1016,4016

Greatest Common Factor (GCF) of 1016,4016 By Common Division

2	1016, 4016
2	508, 2008
2	254, 1004
	127, 502

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1016,4016 By Matching Biggest Common Factor Method

Now, list down the factors of 1016

1,2,4,8,127,254,508,1016

Now, list down the factors of 4016

1,2,4,8,16,251,502,1004,2008,4016

Greatest Common Factor

We found the factors 1016,4016 . The biggest common factor number is the GCF number.
So the greatest common factor 1016,4016 is 8.

Lets's calculate LCM of 285,4129

Lowest Common Multiple of 285,4129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1176765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1176765

Therefore, the GCF of Fractions 1016/285,4016/4129 is 8/1176765

Least Common Multiple of 285,4129 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 285,4129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,4129) = 1

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

GCF(285,4129) x common factors =1 x 1 = 1

LCM(285,4129) = ( 285 × 4129 ) / 1

LCM(285,4129) = 1176765 / 1

LCM(285,4129) = 1176765

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1016/285, 4016/4129

1. What is the HCF of 1016,4016?

The HCF of 1016,4016 is 8

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 1016/285, 4016/4129?

Answer: GCF of Numerators as per given numbers 1016/285, 4016/4129 is

GCF of Numerators i.e. for 1016,4016 is 8

LCM of denominators i.e. for 285,4129 is 1176765.

Thus, GCF of Fractions is 8/1176765.Finally, GCF of Fractions for 1016/285, 4016/4129 is 8/1176765.