Highest Common Factor of 766, 5335, 8527 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 766, 5335, 8527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 766, 5335, 8527 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 766, 5335, 8527 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 766, 5335, 8527 is 1.

HCF(766, 5335, 8527) = 1

HCF of 766, 5335, 8527 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 766, 5335, 8527 is 1.

Highest Common Factor of 766,5335,8527 using Euclid's algorithm

Highest Common Factor of 766,5335,8527 is 1

Step 1: Since 5335 > 766, we apply the division lemma to 5335 and 766, to get

5335 = 766 x 6 + 739

Step 2: Since the reminder 766 ≠ 0, we apply division lemma to 739 and 766, to get

766 = 739 x 1 + 27

Step 3: We consider the new divisor 739 and the new remainder 27, and apply the division lemma to get

739 = 27 x 27 + 10

We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get

27 = 10 x 2 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 766 and 5335 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(739,27) = HCF(766,739) = HCF(5335,766) .

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

Step 1: Since 8527 > 1, we apply the division lemma to 8527 and 1, to get

8527 = 1 x 8527 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8527 is 1

Notice that 1 = HCF(8527,1) .

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Frequently Asked Questions on HCF of 766, 5335, 8527 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 766, 5335, 8527?

Answer: HCF of 766, 5335, 8527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 766, 5335, 8527 using Euclid's Algorithm?

Answer: For arbitrary numbers 766, 5335, 8527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.