Highest Common Factor of 565, 899, 510 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 565, 899, 510 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 565, 899, 510 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 565, 899, 510 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 565, 899, 510 is 1.

HCF(565, 899, 510) = 1

HCF of 565, 899, 510 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 565, 899, 510 is 1.

Highest Common Factor of 565,899,510 using Euclid's algorithm

Highest Common Factor of 565,899,510 is 1

Step 1: Since 899 > 565, we apply the division lemma to 899 and 565, to get

899 = 565 x 1 + 334

Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 334 and 565, to get

565 = 334 x 1 + 231

Step 3: We consider the new divisor 334 and the new remainder 231, and apply the division lemma to get

334 = 231 x 1 + 103

We consider the new divisor 231 and the new remainder 103,and apply the division lemma to get

231 = 103 x 2 + 25

We consider the new divisor 103 and the new remainder 25,and apply the division lemma to get

103 = 25 x 4 + 3

We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get

25 = 3 x 8 + 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 565 and 899 is 1

Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(103,25) = HCF(231,103) = HCF(334,231) = HCF(565,334) = HCF(899,565) .

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

Step 1: Since 510 > 1, we apply the division lemma to 510 and 1, to get

510 = 1 x 510 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 510 is 1

Notice that 1 = HCF(510,1) .

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Frequently Asked Questions on HCF of 565, 899, 510 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 565, 899, 510?

Answer: HCF of 565, 899, 510 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 565, 899, 510 using Euclid's Algorithm?

Answer: For arbitrary numbers 565, 899, 510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.