Highest Common Factor of 795, 747, 211 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 795, 747, 211 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 795, 747, 211 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 795, 747, 211 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 795, 747, 211 is 1.

HCF(795, 747, 211) = 1

HCF of 795, 747, 211 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 795, 747, 211 is 1.

Highest Common Factor of 795,747,211 using Euclid's algorithm

Highest Common Factor of 795,747,211 is 1

Step 1: Since 795 > 747, we apply the division lemma to 795 and 747, to get

795 = 747 x 1 + 48

Step 2: Since the reminder 747 ≠ 0, we apply division lemma to 48 and 747, to get

747 = 48 x 15 + 27

Step 3: We consider the new divisor 48 and the new remainder 27, and apply the division lemma to get

48 = 27 x 1 + 21

We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get

27 = 21 x 1 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

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

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 795 and 747 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) = HCF(747,48) = HCF(795,747) .

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

Step 1: Since 211 > 3, we apply the division lemma to 211 and 3, to get

211 = 3 x 70 + 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 211 is 1

Notice that 1 = HCF(3,1) = HCF(211,3) .

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Frequently Asked Questions on HCF of 795, 747, 211 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 795, 747, 211?

Answer: HCF of 795, 747, 211 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 795, 747, 211 using Euclid's Algorithm?

Answer: For arbitrary numbers 795, 747, 211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.