Highest Common Factor of 3539, 6266, 62572 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 3539, 6266, 62572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3539, 6266, 62572 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 3539, 6266, 62572 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 3539, 6266, 62572 is 1.

HCF(3539, 6266, 62572) = 1

HCF of 3539, 6266, 62572 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 3539, 6266, 62572 is 1.

Highest Common Factor of 3539,6266,62572 using Euclid's algorithm

Highest Common Factor of 3539,6266,62572 is 1

Step 1: Since 6266 > 3539, we apply the division lemma to 6266 and 3539, to get

6266 = 3539 x 1 + 2727

Step 2: Since the reminder 3539 ≠ 0, we apply division lemma to 2727 and 3539, to get

3539 = 2727 x 1 + 812

Step 3: We consider the new divisor 2727 and the new remainder 812, and apply the division lemma to get

2727 = 812 x 3 + 291

We consider the new divisor 812 and the new remainder 291,and apply the division lemma to get

812 = 291 x 2 + 230

We consider the new divisor 291 and the new remainder 230,and apply the division lemma to get

291 = 230 x 1 + 61

We consider the new divisor 230 and the new remainder 61,and apply the division lemma to get

230 = 61 x 3 + 47

We consider the new divisor 61 and the new remainder 47,and apply the division lemma to get

61 = 47 x 1 + 14

We consider the new divisor 47 and the new remainder 14,and apply the division lemma to get

47 = 14 x 3 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3539 and 6266 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(47,14) = HCF(61,47) = HCF(230,61) = HCF(291,230) = HCF(812,291) = HCF(2727,812) = HCF(3539,2727) = HCF(6266,3539) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 62572 > 1, we apply the division lemma to 62572 and 1, to get

62572 = 1 x 62572 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62572 is 1

Notice that 1 = HCF(62572,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3539, 6266, 62572 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 3539, 6266, 62572?

Answer: HCF of 3539, 6266, 62572 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3539, 6266, 62572 using Euclid's Algorithm?

Answer: For arbitrary numbers 3539, 6266, 62572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.