Highest Common Factor of 989, 531, 101 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 989, 531, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 989, 531, 101 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 989, 531, 101 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 989, 531, 101 is 1.

HCF(989, 531, 101) = 1

HCF of 989, 531, 101 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 989, 531, 101 is 1.

Highest Common Factor of 989,531,101 using Euclid's algorithm

Highest Common Factor of 989,531,101 is 1

Step 1: Since 989 > 531, we apply the division lemma to 989 and 531, to get

989 = 531 x 1 + 458

Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 458 and 531, to get

531 = 458 x 1 + 73

Step 3: We consider the new divisor 458 and the new remainder 73, and apply the division lemma to get

458 = 73 x 6 + 20

We consider the new divisor 73 and the new remainder 20,and apply the division lemma to get

73 = 20 x 3 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 989 and 531 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(73,20) = HCF(458,73) = HCF(531,458) = HCF(989,531) .

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

Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get

101 = 1 x 101 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1

Notice that 1 = HCF(101,1) .

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Frequently Asked Questions on HCF of 989, 531, 101 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 989, 531, 101?

Answer: HCF of 989, 531, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 989, 531, 101 using Euclid's Algorithm?

Answer: For arbitrary numbers 989, 531, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.