Highest Common Factor of 861, 629, 591, 951 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 861, 629, 591, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 861, 629, 591, 951 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 861, 629, 591, 951 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 861, 629, 591, 951 is 1.

HCF(861, 629, 591, 951) = 1

HCF of 861, 629, 591, 951 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 861, 629, 591, 951 is 1.

Highest Common Factor of 861,629,591,951 using Euclid's algorithm

Highest Common Factor of 861,629,591,951 is 1

Step 1: Since 861 > 629, we apply the division lemma to 861 and 629, to get

861 = 629 x 1 + 232

Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 232 and 629, to get

629 = 232 x 2 + 165

Step 3: We consider the new divisor 232 and the new remainder 165, and apply the division lemma to get

232 = 165 x 1 + 67

We consider the new divisor 165 and the new remainder 67,and apply the division lemma to get

165 = 67 x 2 + 31

We consider the new divisor 67 and the new remainder 31,and apply the division lemma to get

67 = 31 x 2 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 861 and 629 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(67,31) = HCF(165,67) = HCF(232,165) = HCF(629,232) = HCF(861,629) .

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

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

591 = 1 x 591 + 0

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

Notice that 1 = HCF(591,1) .

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

Step 1: Since 951 > 1, we apply the division lemma to 951 and 1, to get

951 = 1 x 951 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 951 is 1

Notice that 1 = HCF(951,1) .

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Frequently Asked Questions on HCF of 861, 629, 591, 951 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 861, 629, 591, 951?

Answer: HCF of 861, 629, 591, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 861, 629, 591, 951 using Euclid's Algorithm?

Answer: For arbitrary numbers 861, 629, 591, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.