Highest Common Factor of 569, 872, 288, 885 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 569, 872, 288, 885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 569, 872, 288, 885 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 569, 872, 288, 885 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 569, 872, 288, 885 is 1.

HCF(569, 872, 288, 885) = 1

HCF of 569, 872, 288, 885 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 569, 872, 288, 885 is 1.

Highest Common Factor of 569,872,288,885 using Euclid's algorithm

Highest Common Factor of 569,872,288,885 is 1

Step 1: Since 872 > 569, we apply the division lemma to 872 and 569, to get

872 = 569 x 1 + 303

Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 303 and 569, to get

569 = 303 x 1 + 266

Step 3: We consider the new divisor 303 and the new remainder 266, and apply the division lemma to get

303 = 266 x 1 + 37

We consider the new divisor 266 and the new remainder 37,and apply the division lemma to get

266 = 37 x 7 + 7

We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get

37 = 7 x 5 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 569 and 872 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(266,37) = HCF(303,266) = HCF(569,303) = HCF(872,569) .

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

Step 1: Since 288 > 1, we apply the division lemma to 288 and 1, to get

288 = 1 x 288 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 288 is 1

Notice that 1 = HCF(288,1) .

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

Step 1: Since 885 > 1, we apply the division lemma to 885 and 1, to get

885 = 1 x 885 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 885 is 1

Notice that 1 = HCF(885,1) .

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Frequently Asked Questions on HCF of 569, 872, 288, 885 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 569, 872, 288, 885?

Answer: HCF of 569, 872, 288, 885 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 569, 872, 288, 885 using Euclid's Algorithm?

Answer: For arbitrary numbers 569, 872, 288, 885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.