Highest Common Factor of 451, 869, 358 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 451, 869, 358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 451, 869, 358 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 451, 869, 358 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 451, 869, 358 is 1.

HCF(451, 869, 358) = 1

HCF of 451, 869, 358 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 451, 869, 358 is 1.

Highest Common Factor of 451,869,358 using Euclid's algorithm

Highest Common Factor of 451,869,358 is 1

Step 1: Since 869 > 451, we apply the division lemma to 869 and 451, to get

869 = 451 x 1 + 418

Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 418 and 451, to get

451 = 418 x 1 + 33

Step 3: We consider the new divisor 418 and the new remainder 33, and apply the division lemma to get

418 = 33 x 12 + 22

We consider the new divisor 33 and the new remainder 22,and apply the division lemma to get

33 = 22 x 1 + 11

We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get

22 = 11 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 451 and 869 is 11

Notice that 11 = HCF(22,11) = HCF(33,22) = HCF(418,33) = HCF(451,418) = HCF(869,451) .

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

Step 1: Since 358 > 11, we apply the division lemma to 358 and 11, to get

358 = 11 x 32 + 6

Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 6 and 11, to get

11 = 6 x 1 + 5

Step 3: We consider the new divisor 6 and the new remainder 5, and apply the division lemma to get

6 = 5 x 1 + 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 11 and 358 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(358,11) .

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Frequently Asked Questions on HCF of 451, 869, 358 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 451, 869, 358?

Answer: HCF of 451, 869, 358 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 451, 869, 358 using Euclid's Algorithm?

Answer: For arbitrary numbers 451, 869, 358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.