Highest Common Factor of 682, 82787 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 682, 82787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 682, 82787 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 682, 82787 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 682, 82787 is 1.

HCF(682, 82787) = 1

HCF of 682, 82787 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 682, 82787 is 1.

Highest Common Factor of 682,82787 using Euclid's algorithm

Highest Common Factor of 682,82787 is 1

Step 1: Since 82787 > 682, we apply the division lemma to 82787 and 682, to get

82787 = 682 x 121 + 265

Step 2: Since the reminder 682 ≠ 0, we apply division lemma to 265 and 682, to get

682 = 265 x 2 + 152

Step 3: We consider the new divisor 265 and the new remainder 152, and apply the division lemma to get

265 = 152 x 1 + 113

We consider the new divisor 152 and the new remainder 113,and apply the division lemma to get

152 = 113 x 1 + 39

We consider the new divisor 113 and the new remainder 39,and apply the division lemma to get

113 = 39 x 2 + 35

We consider the new divisor 39 and the new remainder 35,and apply the division lemma to get

39 = 35 x 1 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 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 682 and 82787 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(39,35) = HCF(113,39) = HCF(152,113) = HCF(265,152) = HCF(682,265) = HCF(82787,682) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 682, 82787 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 682, 82787?

Answer: HCF of 682, 82787 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 682, 82787 using Euclid's Algorithm?

Answer: For arbitrary numbers 682, 82787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.