Highest Common Factor of 432, 833, 637 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 432, 833, 637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 432, 833, 637 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 432, 833, 637 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 432, 833, 637 is 1.

HCF(432, 833, 637) = 1

HCF of 432, 833, 637 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 432, 833, 637 is 1.

Highest Common Factor of 432,833,637 using Euclid's algorithm

Highest Common Factor of 432,833,637 is 1

Step 1: Since 833 > 432, we apply the division lemma to 833 and 432, to get

833 = 432 x 1 + 401

Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 401 and 432, to get

432 = 401 x 1 + 31

Step 3: We consider the new divisor 401 and the new remainder 31, and apply the division lemma to get

401 = 31 x 12 + 29

We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get

31 = 29 x 1 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 432 and 833 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(401,31) = HCF(432,401) = HCF(833,432) .

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

Step 1: Since 637 > 1, we apply the division lemma to 637 and 1, to get

637 = 1 x 637 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 637 is 1

Notice that 1 = HCF(637,1) .

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Frequently Asked Questions on HCF of 432, 833, 637 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 432, 833, 637?

Answer: HCF of 432, 833, 637 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 432, 833, 637 using Euclid's Algorithm?

Answer: For arbitrary numbers 432, 833, 637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.