How to Find GCF of 4265/433, 2862/6186?

GCF of 4265/433, 2862/6186

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 4265/433, 2862/6186 i.e 1/2678538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4265/433, 2862/6186.

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 4265/433,2862/6186?

Given fractions are 4265/433,2862/6186

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 4265/433,2862/6186, numerators are 4265,2862

Denominators are 433,6186

The GCF of 4265,2862 is 1 .

LCM of 433,6186 is 2678538.

The greatest common factor of 4265/433,2862/6186 = [GCF of 4265,2862]/[LCM of 433,6186]= 1/2678538

Therefore, the GCF of 4265/433,2862/6186 is 1/2678538.

Greatest Common Factor of 4265,2862

To find the highest common factor of 4265,2862, we have to find the factors of both numbers and list the highest common factor.

The factors of 4265 are 1, 5, 853, 4265

The factors of 2862 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 106, 159, 318, 477, 954, 1431, 2862

The HCF of 4265,2862 is 1.

Lets's calculate GCF of 4265,2862

Greatest Common Factor (GCF) of 4265,2862 By Common Division

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

Greatest Common Factor of 4265,2862 By Matching Biggest Common Factor Method

Now, list down the factors of 4265

1,5,853,4265

Now, list down the factors of 2862

1,2,3,6,9,18,27,53,54,106,159,318,477,954,1431,2862

Greatest Common Factor

We found the factors 4265,2862 . The biggest common factor number is the GCF number.
So the greatest common factor 4265,2862 is 1.

Lets's calculate LCM of 433,6186

Lowest Common Multiple of 433,6186 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2678538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2678538

Therefore, the GCF of Fractions 4265/433,2862/6186 is 1/2678538

Least Common Multiple of 433,6186 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 433,6186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,6186) = 1

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

GCF(433,6186) x common factors =1 x 1 = 1

LCM(433,6186) = ( 433 × 6186 ) / 1

LCM(433,6186) = 2678538 / 1

LCM(433,6186) = 2678538

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FAQs on GCF of Fractions of 4265/433, 2862/6186

1. What is the HCF of 4265,2862?

The HCF of 4265,2862 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 4265/433, 2862/6186?

Answer: GCF of Numerators as per given numbers 4265/433, 2862/6186 is

GCF of Numerators i.e. for 4265,2862 is 1

LCM of denominators i.e. for 433,6186 is 2678538.

Thus, GCF of Fractions is 1/2678538.Finally, GCF of Fractions for 4265/433, 2862/6186 is 1/2678538.