Highest Common Factor of 5007, 1562, 63995 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 5007, 1562, 63995 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5007, 1562, 63995 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 5007, 1562, 63995 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 5007, 1562, 63995 is 1.

HCF(5007, 1562, 63995) = 1

HCF of 5007, 1562, 63995 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 5007, 1562, 63995 is 1.

Highest Common Factor of 5007,1562,63995 using Euclid's algorithm

Highest Common Factor of 5007,1562,63995 is 1

Step 1: Since 5007 > 1562, we apply the division lemma to 5007 and 1562, to get

5007 = 1562 x 3 + 321

Step 2: Since the reminder 1562 ≠ 0, we apply division lemma to 321 and 1562, to get

1562 = 321 x 4 + 278

Step 3: We consider the new divisor 321 and the new remainder 278, and apply the division lemma to get

321 = 278 x 1 + 43

We consider the new divisor 278 and the new remainder 43,and apply the division lemma to get

278 = 43 x 6 + 20

We consider the new divisor 43 and the new remainder 20,and apply the division lemma to get

43 = 20 x 2 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5007 and 1562 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(43,20) = HCF(278,43) = HCF(321,278) = HCF(1562,321) = HCF(5007,1562) .

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

Step 1: Since 63995 > 1, we apply the division lemma to 63995 and 1, to get

63995 = 1 x 63995 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63995 is 1

Notice that 1 = HCF(63995,1) .

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Frequently Asked Questions on HCF of 5007, 1562, 63995 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 5007, 1562, 63995?

Answer: HCF of 5007, 1562, 63995 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5007, 1562, 63995 using Euclid's Algorithm?

Answer: For arbitrary numbers 5007, 1562, 63995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.