Highest Common Factor of 432, 795, 850 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, 795, 850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 432, 795, 850 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, 795, 850 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, 795, 850 is 1.

HCF(432, 795, 850) = 1

HCF of 432, 795, 850 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, 795, 850 is 1.

Highest Common Factor of 432,795,850 using Euclid's algorithm

Highest Common Factor of 432,795,850 is 1

Step 1: Since 795 > 432, we apply the division lemma to 795 and 432, to get

795 = 432 x 1 + 363

Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 363 and 432, to get

432 = 363 x 1 + 69

Step 3: We consider the new divisor 363 and the new remainder 69, and apply the division lemma to get

363 = 69 x 5 + 18

We consider the new divisor 69 and the new remainder 18,and apply the division lemma to get

69 = 18 x 3 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 432 and 795 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(69,18) = HCF(363,69) = HCF(432,363) = HCF(795,432) .

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

Step 1: Since 850 > 3, we apply the division lemma to 850 and 3, to get

850 = 3 x 283 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 850 is 1

Notice that 1 = HCF(3,1) = HCF(850,3) .

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Frequently Asked Questions on HCF of 432, 795, 850 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, 795, 850?

Answer: HCF of 432, 795, 850 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 432, 795, 850 using Euclid's Algorithm?

Answer: For arbitrary numbers 432, 795, 850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.