Highest Common Factor of 6094, 5522, 86689 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 6094, 5522, 86689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6094, 5522, 86689 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 6094, 5522, 86689 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 6094, 5522, 86689 is 1.

HCF(6094, 5522, 86689) = 1

HCF of 6094, 5522, 86689 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 6094, 5522, 86689 is 1.

Highest Common Factor of 6094,5522,86689 using Euclid's algorithm

Highest Common Factor of 6094,5522,86689 is 1

Step 1: Since 6094 > 5522, we apply the division lemma to 6094 and 5522, to get

6094 = 5522 x 1 + 572

Step 2: Since the reminder 5522 ≠ 0, we apply division lemma to 572 and 5522, to get

5522 = 572 x 9 + 374

Step 3: We consider the new divisor 572 and the new remainder 374, and apply the division lemma to get

572 = 374 x 1 + 198

We consider the new divisor 374 and the new remainder 198,and apply the division lemma to get

374 = 198 x 1 + 176

We consider the new divisor 198 and the new remainder 176,and apply the division lemma to get

198 = 176 x 1 + 22

We consider the new divisor 176 and the new remainder 22,and apply the division lemma to get

176 = 22 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 6094 and 5522 is 22

Notice that 22 = HCF(176,22) = HCF(198,176) = HCF(374,198) = HCF(572,374) = HCF(5522,572) = HCF(6094,5522) .

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

Step 1: Since 86689 > 22, we apply the division lemma to 86689 and 22, to get

86689 = 22 x 3940 + 9

Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 9 and 22, to get

22 = 9 x 2 + 4

Step 3: We consider the new divisor 9 and the new remainder 4, and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 22 and 86689 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(86689,22) .

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Frequently Asked Questions on HCF of 6094, 5522, 86689 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 6094, 5522, 86689?

Answer: HCF of 6094, 5522, 86689 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6094, 5522, 86689 using Euclid's Algorithm?

Answer: For arbitrary numbers 6094, 5522, 86689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.