How to Find GCF of 4046/311, 8604/8969?

GCF of 4046/311, 8604/8969

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 4046/311, 8604/8969 i.e 2/2789359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4046/311, 8604/8969.

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 4046/311,8604/8969?

Given fractions are 4046/311,8604/8969

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 4046/311,8604/8969, numerators are 4046,8604

Denominators are 311,8969

The GCF of 4046,8604 is 2 .

LCM of 311,8969 is 2789359.

The greatest common factor of 4046/311,8604/8969 = [GCF of 4046,8604]/[LCM of 311,8969]= 2/2789359

Therefore, the GCF of 4046/311,8604/8969 is 2/2789359.

Greatest Common Factor of 4046,8604

To find the highest common factor of 4046,8604, we have to find the factors of both numbers and list the highest common factor.

The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046

The factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604

The HCF of 4046,8604 is 2.

Lets's calculate GCF of 4046,8604

Greatest Common Factor (GCF) of 4046,8604 By Common Division

2	4046, 8604
	2023, 4302

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

Greatest Common Factor of 4046,8604 By Matching Biggest Common Factor Method

Now, list down the factors of 4046

1,2,7,14,17,34,119,238,289,578,2023,4046

Now, list down the factors of 8604

1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604

Greatest Common Factor

We found the factors 4046,8604 . The biggest common factor number is the GCF number.
So the greatest common factor 4046,8604 is 2.

Lets's calculate LCM of 311,8969

Lowest Common Multiple of 311,8969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2789359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2789359

Therefore, the GCF of Fractions 4046/311,8604/8969 is 2/2789359

Least Common Multiple of 311,8969 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 311,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,8969) = 1

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

GCF(311,8969) x common factors =1 x 1 = 1

LCM(311,8969) = ( 311 × 8969 ) / 1

LCM(311,8969) = 2789359 / 1

LCM(311,8969) = 2789359

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FAQs on GCF of Fractions of 4046/311, 8604/8969

1. What is the HCF of 4046,8604?

The HCF of 4046,8604 is 2

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 4046/311, 8604/8969?

Answer: GCF of Numerators as per given numbers 4046/311, 8604/8969 is

GCF of Numerators i.e. for 4046,8604 is 2

LCM of denominators i.e. for 311,8969 is 2789359.

Thus, GCF of Fractions is 2/2789359.Finally, GCF of Fractions for 4046/311, 8604/8969 is 2/2789359.