Highest Common Factor of 1569, 7561 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, 7561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1569, 7561 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, 7561 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, 7561 is 1.

HCF(1569, 7561) = 1

HCF of 1569, 7561 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, 7561 is 1.

Highest Common Factor of 1569,7561 using Euclid's algorithm

Highest Common Factor of 1569,7561 is 1

Step 1: Since 7561 > 1569, we apply the division lemma to 7561 and 1569, to get

7561 = 1569 x 4 + 1285

Step 2: Since the reminder 1569 ≠ 0, we apply division lemma to 1285 and 1569, to get

1569 = 1285 x 1 + 284

Step 3: We consider the new divisor 1285 and the new remainder 284, and apply the division lemma to get

1285 = 284 x 4 + 149

We consider the new divisor 284 and the new remainder 149,and apply the division lemma to get

284 = 149 x 1 + 135

We consider the new divisor 149 and the new remainder 135,and apply the division lemma to get

149 = 135 x 1 + 14

We consider the new divisor 135 and the new remainder 14,and apply the division lemma to get

135 = 14 x 9 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 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 1569 and 7561 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(135,14) = HCF(149,135) = HCF(284,149) = HCF(1285,284) = HCF(1569,1285) = HCF(7561,1569) .

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Frequently Asked Questions on HCF of 1569, 7561 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, 7561?

Answer: HCF of 1569, 7561 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1569, 7561 using Euclid's Algorithm?

Answer: For arbitrary numbers 1569, 7561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.