Highest Common Factor of 966, 599, 525 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, 599, 525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 966, 599, 525 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, 599, 525 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, 599, 525 is 1.

HCF(966, 599, 525) = 1

HCF of 966, 599, 525 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, 599, 525 is 1.

Highest Common Factor of 966,599,525 using Euclid's algorithm

Highest Common Factor of 966,599,525 is 1

Step 1: Since 966 > 599, we apply the division lemma to 966 and 599, to get

966 = 599 x 1 + 367

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 367 and 599, to get

599 = 367 x 1 + 232

Step 3: We consider the new divisor 367 and the new remainder 232, and apply the division lemma to get

367 = 232 x 1 + 135

We consider the new divisor 232 and the new remainder 135,and apply the division lemma to get

232 = 135 x 1 + 97

We consider the new divisor 135 and the new remainder 97,and apply the division lemma to get

135 = 97 x 1 + 38

We consider the new divisor 97 and the new remainder 38,and apply the division lemma to get

97 = 38 x 2 + 21

We consider the new divisor 38 and the new remainder 21,and apply the division lemma to get

38 = 21 x 1 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 966 and 599 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(38,21) = HCF(97,38) = HCF(135,97) = HCF(232,135) = HCF(367,232) = HCF(599,367) = HCF(966,599) .

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

Step 1: Since 525 > 1, we apply the division lemma to 525 and 1, to get

525 = 1 x 525 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 525 is 1

Notice that 1 = HCF(525,1) .

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Frequently Asked Questions on HCF of 966, 599, 525 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, 599, 525?

Answer: HCF of 966, 599, 525 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 966, 599, 525 using Euclid's Algorithm?

Answer: For arbitrary numbers 966, 599, 525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.