How to Find GCF of 435/309, 1036/512?

GCF of 435/309, 1036/512

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 435/309, 1036/512 i.e 1/158208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/309, 1036/512.

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 435/309,1036/512?

Given fractions are 435/309,1036/512

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 435/309,1036/512, numerators are 435,1036

Denominators are 309,512

The GCF of 435,1036 is 1 .

LCM of 309,512 is 158208.

The greatest common factor of 435/309,1036/512 = [GCF of 435,1036]/[LCM of 309,512]= 1/158208

Therefore, the GCF of 435/309,1036/512 is 1/158208.

Greatest Common Factor of 435,1036

To find the highest common factor of 435,1036, we have to find the factors of both numbers and list the highest common factor.

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435

The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

The HCF of 435,1036 is 1.

Lets's calculate GCF of 435,1036

Greatest Common Factor (GCF) of 435,1036 By Common Division

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

Greatest Common Factor of 435,1036 By Matching Biggest Common Factor Method

Now, list down the factors of 435

1,3,5,15,29,87,145,435

Now, list down the factors of 1036

1,2,4,7,14,28,37,74,148,259,518,1036

Greatest Common Factor

We found the factors 435,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 435,1036 is 1.

Lets's calculate LCM of 309,512

Lowest Common Multiple of 309,512 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 158208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158208

Therefore, the GCF of Fractions 435/309,1036/512 is 1/158208

Least Common Multiple of 309,512 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 309,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,512) = 1

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

GCF(309,512) x common factors =1 x 1 = 1

LCM(309,512) = ( 309 × 512 ) / 1

LCM(309,512) = 158208 / 1

LCM(309,512) = 158208

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FAQs on GCF of Fractions of 435/309, 1036/512

1. What is the HCF of 435,1036?

The HCF of 435,1036 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 435/309, 1036/512?

Answer: GCF of Numerators as per given numbers 435/309, 1036/512 is

GCF of Numerators i.e. for 435,1036 is 1

LCM of denominators i.e. for 309,512 is 158208.

Thus, GCF of Fractions is 1/158208.Finally, GCF of Fractions for 435/309, 1036/512 is 1/158208.