Highest Common Factor of 294, 524, 569 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 294, 524, 569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 294, 524, 569 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 294, 524, 569 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 294, 524, 569 is 1.

HCF(294, 524, 569) = 1

HCF of 294, 524, 569 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 294, 524, 569 is 1.

Highest Common Factor of 294,524,569 using Euclid's algorithm

Highest Common Factor of 294,524,569 is 1

Step 1: Since 524 > 294, we apply the division lemma to 524 and 294, to get

524 = 294 x 1 + 230

Step 2: Since the reminder 294 ≠ 0, we apply division lemma to 230 and 294, to get

294 = 230 x 1 + 64

Step 3: We consider the new divisor 230 and the new remainder 64, and apply the division lemma to get

230 = 64 x 3 + 38

We consider the new divisor 64 and the new remainder 38,and apply the division lemma to get

64 = 38 x 1 + 26

We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get

38 = 26 x 1 + 12

We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get

26 = 12 x 2 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 294 and 524 is 2

Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(64,38) = HCF(230,64) = HCF(294,230) = HCF(524,294) .

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

Step 1: Since 569 > 2, we apply the division lemma to 569 and 2, to get

569 = 2 x 284 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 569 is 1

Notice that 1 = HCF(2,1) = HCF(569,2) .

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Frequently Asked Questions on HCF of 294, 524, 569 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 294, 524, 569?

Answer: HCF of 294, 524, 569 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 294, 524, 569 using Euclid's Algorithm?

Answer: For arbitrary numbers 294, 524, 569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.