Highest Common Factor of 633, 986, 708 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 633, 986, 708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 633, 986, 708 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 633, 986, 708 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 633, 986, 708 is 1.

HCF(633, 986, 708) = 1

HCF of 633, 986, 708 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 633, 986, 708 is 1.

Highest Common Factor of 633,986,708 using Euclid's algorithm

Highest Common Factor of 633,986,708 is 1

Step 1: Since 986 > 633, we apply the division lemma to 986 and 633, to get

986 = 633 x 1 + 353

Step 2: Since the reminder 633 ≠ 0, we apply division lemma to 353 and 633, to get

633 = 353 x 1 + 280

Step 3: We consider the new divisor 353 and the new remainder 280, and apply the division lemma to get

353 = 280 x 1 + 73

We consider the new divisor 280 and the new remainder 73,and apply the division lemma to get

280 = 73 x 3 + 61

We consider the new divisor 73 and the new remainder 61,and apply the division lemma to get

73 = 61 x 1 + 12

We consider the new divisor 61 and the new remainder 12,and apply the division lemma to get

61 = 12 x 5 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 633 and 986 is 1

Notice that 1 = HCF(12,1) = HCF(61,12) = HCF(73,61) = HCF(280,73) = HCF(353,280) = HCF(633,353) = HCF(986,633) .

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

Step 1: Since 708 > 1, we apply the division lemma to 708 and 1, to get

708 = 1 x 708 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 708 is 1

Notice that 1 = HCF(708,1) .

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Frequently Asked Questions on HCF of 633, 986, 708 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 633, 986, 708?

Answer: HCF of 633, 986, 708 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 633, 986, 708 using Euclid's Algorithm?

Answer: For arbitrary numbers 633, 986, 708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.