Highest Common Factor of 986, 594, 963, 491 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 986, 594, 963, 491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 986, 594, 963, 491 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 986, 594, 963, 491 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 986, 594, 963, 491 is 1.

HCF(986, 594, 963, 491) = 1

HCF of 986, 594, 963, 491 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 986, 594, 963, 491 is 1.

Highest Common Factor of 986,594,963,491 using Euclid's algorithm

Highest Common Factor of 986,594,963,491 is 1

Step 1: Since 986 > 594, we apply the division lemma to 986 and 594, to get

986 = 594 x 1 + 392

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 392 and 594, to get

594 = 392 x 1 + 202

Step 3: We consider the new divisor 392 and the new remainder 202, and apply the division lemma to get

392 = 202 x 1 + 190

We consider the new divisor 202 and the new remainder 190,and apply the division lemma to get

202 = 190 x 1 + 12

We consider the new divisor 190 and the new remainder 12,and apply the division lemma to get

190 = 12 x 15 + 10

We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get

12 = 10 x 1 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 986 and 594 is 2

Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(190,12) = HCF(202,190) = HCF(392,202) = HCF(594,392) = HCF(986,594) .

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

Step 1: Since 963 > 2, we apply the division lemma to 963 and 2, to get

963 = 2 x 481 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 963 is 1

Notice that 1 = HCF(2,1) = HCF(963,2) .

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

Step 1: Since 491 > 1, we apply the division lemma to 491 and 1, to get

491 = 1 x 491 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 491 is 1

Notice that 1 = HCF(491,1) .

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Frequently Asked Questions on HCF of 986, 594, 963, 491 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 986, 594, 963, 491?

Answer: HCF of 986, 594, 963, 491 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 986, 594, 963, 491 using Euclid's Algorithm?

Answer: For arbitrary numbers 986, 594, 963, 491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.