Highest Common Factor of 8526, 6326, 59691 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 8526, 6326, 59691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8526, 6326, 59691 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 8526, 6326, 59691 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 8526, 6326, 59691 is 1.

HCF(8526, 6326, 59691) = 1

HCF of 8526, 6326, 59691 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 8526, 6326, 59691 is 1.

Highest Common Factor of 8526,6326,59691 using Euclid's algorithm

Highest Common Factor of 8526,6326,59691 is 1

Step 1: Since 8526 > 6326, we apply the division lemma to 8526 and 6326, to get

8526 = 6326 x 1 + 2200

Step 2: Since the reminder 6326 ≠ 0, we apply division lemma to 2200 and 6326, to get

6326 = 2200 x 2 + 1926

Step 3: We consider the new divisor 2200 and the new remainder 1926, and apply the division lemma to get

2200 = 1926 x 1 + 274

We consider the new divisor 1926 and the new remainder 274,and apply the division lemma to get

1926 = 274 x 7 + 8

We consider the new divisor 274 and the new remainder 8,and apply the division lemma to get

274 = 8 x 34 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8526 and 6326 is 2

Notice that 2 = HCF(8,2) = HCF(274,8) = HCF(1926,274) = HCF(2200,1926) = HCF(6326,2200) = HCF(8526,6326) .

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

Step 1: Since 59691 > 2, we apply the division lemma to 59691 and 2, to get

59691 = 2 x 29845 + 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 59691 is 1

Notice that 1 = HCF(2,1) = HCF(59691,2) .

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Frequently Asked Questions on HCF of 8526, 6326, 59691 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 8526, 6326, 59691?

Answer: HCF of 8526, 6326, 59691 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8526, 6326, 59691 using Euclid's Algorithm?

Answer: For arbitrary numbers 8526, 6326, 59691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.