Highest Common Factor of 963, 708, 244 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 963, 708, 244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 963, 708, 244 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 963, 708, 244 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 963, 708, 244 is 1.

HCF(963, 708, 244) = 1

HCF of 963, 708, 244 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 963, 708, 244 is 1.

Highest Common Factor of 963,708,244 using Euclid's algorithm

Highest Common Factor of 963,708,244 is 1

Step 1: Since 963 > 708, we apply the division lemma to 963 and 708, to get

963 = 708 x 1 + 255

Step 2: Since the reminder 708 ≠ 0, we apply division lemma to 255 and 708, to get

708 = 255 x 2 + 198

Step 3: We consider the new divisor 255 and the new remainder 198, and apply the division lemma to get

255 = 198 x 1 + 57

We consider the new divisor 198 and the new remainder 57,and apply the division lemma to get

198 = 57 x 3 + 27

We consider the new divisor 57 and the new remainder 27,and apply the division lemma to get

57 = 27 x 2 + 3

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

27 = 3 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 963 and 708 is 3

Notice that 3 = HCF(27,3) = HCF(57,27) = HCF(198,57) = HCF(255,198) = HCF(708,255) = HCF(963,708) .

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

Step 1: Since 244 > 3, we apply the division lemma to 244 and 3, to get

244 = 3 x 81 + 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 244 is 1

Notice that 1 = HCF(3,1) = HCF(244,3) .

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Frequently Asked Questions on HCF of 963, 708, 244 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 963, 708, 244?

Answer: HCF of 963, 708, 244 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 963, 708, 244 using Euclid's Algorithm?

Answer: For arbitrary numbers 963, 708, 244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.