Highest Common Factor of 591, 857, 622 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 591, 857, 622 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 591, 857, 622 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 591, 857, 622 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 591, 857, 622 is 1.

HCF(591, 857, 622) = 1

HCF of 591, 857, 622 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 591, 857, 622 is 1.

Highest Common Factor of 591,857,622 using Euclid's algorithm

Highest Common Factor of 591,857,622 is 1

Step 1: Since 857 > 591, we apply the division lemma to 857 and 591, to get

857 = 591 x 1 + 266

Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 266 and 591, to get

591 = 266 x 2 + 59

Step 3: We consider the new divisor 266 and the new remainder 59, and apply the division lemma to get

266 = 59 x 4 + 30

We consider the new divisor 59 and the new remainder 30,and apply the division lemma to get

59 = 30 x 1 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 591 and 857 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(59,30) = HCF(266,59) = HCF(591,266) = HCF(857,591) .

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

Step 1: Since 622 > 1, we apply the division lemma to 622 and 1, to get

622 = 1 x 622 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 622 is 1

Notice that 1 = HCF(622,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 591, 857, 622 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 591, 857, 622?

Answer: HCF of 591, 857, 622 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 591, 857, 622 using Euclid's Algorithm?

Answer: For arbitrary numbers 591, 857, 622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.