Highest Common Factor of 1569, 550 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 1569, 550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1569, 550 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 1569, 550 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 1569, 550 is 1.

HCF(1569, 550) = 1

HCF of 1569, 550 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 1569, 550 is 1.

Highest Common Factor of 1569,550 using Euclid's algorithm

Highest Common Factor of 1569,550 is 1

Step 1: Since 1569 > 550, we apply the division lemma to 1569 and 550, to get

1569 = 550 x 2 + 469

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 469 and 550, to get

550 = 469 x 1 + 81

Step 3: We consider the new divisor 469 and the new remainder 81, and apply the division lemma to get

469 = 81 x 5 + 64

We consider the new divisor 81 and the new remainder 64,and apply the division lemma to get

81 = 64 x 1 + 17

We consider the new divisor 64 and the new remainder 17,and apply the division lemma to get

64 = 17 x 3 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 1569 and 550 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(64,17) = HCF(81,64) = HCF(469,81) = HCF(550,469) = HCF(1569,550) .

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Frequently Asked Questions on HCF of 1569, 550 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 1569, 550?

Answer: HCF of 1569, 550 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1569, 550 using Euclid's Algorithm?

Answer: For arbitrary numbers 1569, 550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.