Highest Common Factor of 707, 1642, 5067 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 707, 1642, 5067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 707, 1642, 5067 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 707, 1642, 5067 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 707, 1642, 5067 is 1.

HCF(707, 1642, 5067) = 1

HCF of 707, 1642, 5067 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 707, 1642, 5067 is 1.

Highest Common Factor of 707,1642,5067 using Euclid's algorithm

Highest Common Factor of 707,1642,5067 is 1

Step 1: Since 1642 > 707, we apply the division lemma to 1642 and 707, to get

1642 = 707 x 2 + 228

Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 228 and 707, to get

707 = 228 x 3 + 23

Step 3: We consider the new divisor 228 and the new remainder 23, and apply the division lemma to get

228 = 23 x 9 + 21

We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get

23 = 21 x 1 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 707 and 1642 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(228,23) = HCF(707,228) = HCF(1642,707) .

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

Step 1: Since 5067 > 1, we apply the division lemma to 5067 and 1, to get

5067 = 1 x 5067 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5067 is 1

Notice that 1 = HCF(5067,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 707, 1642, 5067 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 707, 1642, 5067?

Answer: HCF of 707, 1642, 5067 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 707, 1642, 5067 using Euclid's Algorithm?

Answer: For arbitrary numbers 707, 1642, 5067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.