Highest Common Factor of 966, 361, 623 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 966, 361, 623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 966, 361, 623 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 966, 361, 623 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 966, 361, 623 is 1.

HCF(966, 361, 623) = 1

HCF of 966, 361, 623 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 966, 361, 623 is 1.

Highest Common Factor of 966,361,623 using Euclid's algorithm

Highest Common Factor of 966,361,623 is 1

Step 1: Since 966 > 361, we apply the division lemma to 966 and 361, to get

966 = 361 x 2 + 244

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 244 and 361, to get

361 = 244 x 1 + 117

Step 3: We consider the new divisor 244 and the new remainder 117, and apply the division lemma to get

244 = 117 x 2 + 10

We consider the new divisor 117 and the new remainder 10,and apply the division lemma to get

117 = 10 x 11 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 966 and 361 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(117,10) = HCF(244,117) = HCF(361,244) = HCF(966,361) .

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

Step 1: Since 623 > 1, we apply the division lemma to 623 and 1, to get

623 = 1 x 623 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 623 is 1

Notice that 1 = HCF(623,1) .

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Frequently Asked Questions on HCF of 966, 361, 623 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 966, 361, 623?

Answer: HCF of 966, 361, 623 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 966, 361, 623 using Euclid's Algorithm?

Answer: For arbitrary numbers 966, 361, 623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.