Highest Common Factor of 8933, 9976, 35967 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 8933, 9976, 35967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8933, 9976, 35967 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 8933, 9976, 35967 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 8933, 9976, 35967 is 1.

HCF(8933, 9976, 35967) = 1

HCF of 8933, 9976, 35967 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 8933, 9976, 35967 is 1.

Highest Common Factor of 8933,9976,35967 using Euclid's algorithm

Highest Common Factor of 8933,9976,35967 is 1

Step 1: Since 9976 > 8933, we apply the division lemma to 9976 and 8933, to get

9976 = 8933 x 1 + 1043

Step 2: Since the reminder 8933 ≠ 0, we apply division lemma to 1043 and 8933, to get

8933 = 1043 x 8 + 589

Step 3: We consider the new divisor 1043 and the new remainder 589, and apply the division lemma to get

1043 = 589 x 1 + 454

We consider the new divisor 589 and the new remainder 454,and apply the division lemma to get

589 = 454 x 1 + 135

We consider the new divisor 454 and the new remainder 135,and apply the division lemma to get

454 = 135 x 3 + 49

We consider the new divisor 135 and the new remainder 49,and apply the division lemma to get

135 = 49 x 2 + 37

We consider the new divisor 49 and the new remainder 37,and apply the division lemma to get

49 = 37 x 1 + 12

We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get

37 = 12 x 3 + 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 8933 and 9976 is 1

Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(49,37) = HCF(135,49) = HCF(454,135) = HCF(589,454) = HCF(1043,589) = HCF(8933,1043) = HCF(9976,8933) .

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

Step 1: Since 35967 > 1, we apply the division lemma to 35967 and 1, to get

35967 = 1 x 35967 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35967 is 1

Notice that 1 = HCF(35967,1) .

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Frequently Asked Questions on HCF of 8933, 9976, 35967 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 8933, 9976, 35967?

Answer: HCF of 8933, 9976, 35967 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8933, 9976, 35967 using Euclid's Algorithm?

Answer: For arbitrary numbers 8933, 9976, 35967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.