Highest Common Factor of 8695, 7069 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 8695, 7069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8695, 7069 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 8695, 7069 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 8695, 7069 is 1.

HCF(8695, 7069) = 1

HCF of 8695, 7069 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 8695, 7069 is 1.

Highest Common Factor of 8695,7069 using Euclid's algorithm

Highest Common Factor of 8695,7069 is 1

Step 1: Since 8695 > 7069, we apply the division lemma to 8695 and 7069, to get

8695 = 7069 x 1 + 1626

Step 2: Since the reminder 7069 ≠ 0, we apply division lemma to 1626 and 7069, to get

7069 = 1626 x 4 + 565

Step 3: We consider the new divisor 1626 and the new remainder 565, and apply the division lemma to get

1626 = 565 x 2 + 496

We consider the new divisor 565 and the new remainder 496,and apply the division lemma to get

565 = 496 x 1 + 69

We consider the new divisor 496 and the new remainder 69,and apply the division lemma to get

496 = 69 x 7 + 13

We consider the new divisor 69 and the new remainder 13,and apply the division lemma to get

69 = 13 x 5 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 8695 and 7069 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(69,13) = HCF(496,69) = HCF(565,496) = HCF(1626,565) = HCF(7069,1626) = HCF(8695,7069) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8695, 7069 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 8695, 7069?

Answer: HCF of 8695, 7069 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8695, 7069 using Euclid's Algorithm?

Answer: For arbitrary numbers 8695, 7069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.