Highest Common Factor of 699, 62765 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 699, 62765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 699, 62765 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 699, 62765 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 699, 62765 is 1.

HCF(699, 62765) = 1

HCF of 699, 62765 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 699, 62765 is 1.

Highest Common Factor of 699,62765 using Euclid's algorithm

Highest Common Factor of 699,62765 is 1

Step 1: Since 62765 > 699, we apply the division lemma to 62765 and 699, to get

62765 = 699 x 89 + 554

Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 554 and 699, to get

699 = 554 x 1 + 145

Step 3: We consider the new divisor 554 and the new remainder 145, and apply the division lemma to get

554 = 145 x 3 + 119

We consider the new divisor 145 and the new remainder 119,and apply the division lemma to get

145 = 119 x 1 + 26

We consider the new divisor 119 and the new remainder 26,and apply the division lemma to get

119 = 26 x 4 + 15

We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get

26 = 15 x 1 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 699 and 62765 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(119,26) = HCF(145,119) = HCF(554,145) = HCF(699,554) = HCF(62765,699) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 699, 62765 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 699, 62765?

Answer: HCF of 699, 62765 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 699, 62765 using Euclid's Algorithm?

Answer: For arbitrary numbers 699, 62765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.