Highest Common Factor of 649, 402, 567 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 649, 402, 567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 649, 402, 567 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 649, 402, 567 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 649, 402, 567 is 1.

HCF(649, 402, 567) = 1

HCF of 649, 402, 567 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 649, 402, 567 is 1.

Highest Common Factor of 649,402,567 using Euclid's algorithm

Highest Common Factor of 649,402,567 is 1

Step 1: Since 649 > 402, we apply the division lemma to 649 and 402, to get

649 = 402 x 1 + 247

Step 2: Since the reminder 402 ≠ 0, we apply division lemma to 247 and 402, to get

402 = 247 x 1 + 155

Step 3: We consider the new divisor 247 and the new remainder 155, and apply the division lemma to get

247 = 155 x 1 + 92

We consider the new divisor 155 and the new remainder 92,and apply the division lemma to get

155 = 92 x 1 + 63

We consider the new divisor 92 and the new remainder 63,and apply the division lemma to get

92 = 63 x 1 + 29

We consider the new divisor 63 and the new remainder 29,and apply the division lemma to get

63 = 29 x 2 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 649 and 402 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(63,29) = HCF(92,63) = HCF(155,92) = HCF(247,155) = HCF(402,247) = HCF(649,402) .

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

Step 1: Since 567 > 1, we apply the division lemma to 567 and 1, to get

567 = 1 x 567 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 567 is 1

Notice that 1 = HCF(567,1) .

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Frequently Asked Questions on HCF of 649, 402, 567 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 649, 402, 567?

Answer: HCF of 649, 402, 567 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 649, 402, 567 using Euclid's Algorithm?

Answer: For arbitrary numbers 649, 402, 567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.