Highest Common Factor of 663, 913, 958 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 663, 913, 958 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 663, 913, 958 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 663, 913, 958 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 663, 913, 958 is 1.

HCF(663, 913, 958) = 1

HCF of 663, 913, 958 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 663, 913, 958 is 1.

Highest Common Factor of 663,913,958 using Euclid's algorithm

Highest Common Factor of 663,913,958 is 1

Step 1: Since 913 > 663, we apply the division lemma to 913 and 663, to get

913 = 663 x 1 + 250

Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 250 and 663, to get

663 = 250 x 2 + 163

Step 3: We consider the new divisor 250 and the new remainder 163, and apply the division lemma to get

250 = 163 x 1 + 87

We consider the new divisor 163 and the new remainder 87,and apply the division lemma to get

163 = 87 x 1 + 76

We consider the new divisor 87 and the new remainder 76,and apply the division lemma to get

87 = 76 x 1 + 11

We consider the new divisor 76 and the new remainder 11,and apply the division lemma to get

76 = 11 x 6 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 663 and 913 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(76,11) = HCF(87,76) = HCF(163,87) = HCF(250,163) = HCF(663,250) = HCF(913,663) .

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

Step 1: Since 958 > 1, we apply the division lemma to 958 and 1, to get

958 = 1 x 958 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 958 is 1

Notice that 1 = HCF(958,1) .

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Frequently Asked Questions on HCF of 663, 913, 958 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 663, 913, 958?

Answer: HCF of 663, 913, 958 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 663, 913, 958 using Euclid's Algorithm?

Answer: For arbitrary numbers 663, 913, 958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.