Highest Common Factor of 6339, 9055 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6339, 9055 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6339, 9055 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6339, 9055 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6339, 9055 is 1.

HCF(6339, 9055) = 1

HCF of 6339, 9055 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6339, 9055 is 1.

Highest Common Factor of 6339,9055 using Euclid's algorithm

Highest Common Factor of 6339,9055 is 1

Step 1: Since 9055 > 6339, we apply the division lemma to 9055 and 6339, to get

9055 = 6339 x 1 + 2716

Step 2: Since the reminder 6339 ≠ 0, we apply division lemma to 2716 and 6339, to get

6339 = 2716 x 2 + 907

Step 3: We consider the new divisor 2716 and the new remainder 907, and apply the division lemma to get

2716 = 907 x 2 + 902

We consider the new divisor 907 and the new remainder 902,and apply the division lemma to get

907 = 902 x 1 + 5

We consider the new divisor 902 and the new remainder 5,and apply the division lemma to get

902 = 5 x 180 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6339 and 9055 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(902,5) = HCF(907,902) = HCF(2716,907) = HCF(6339,2716) = HCF(9055,6339) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6339, 9055 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6339, 9055?

Answer: HCF of 6339, 9055 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6339, 9055 using Euclid's Algorithm?

Answer: For arbitrary numbers 6339, 9055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.