Highest Common Factor of 524, 872, 445 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 524, 872, 445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 524, 872, 445 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 524, 872, 445 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 524, 872, 445 is 1.

HCF(524, 872, 445) = 1

HCF of 524, 872, 445 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 524, 872, 445 is 1.

Highest Common Factor of 524,872,445 using Euclid's algorithm

Highest Common Factor of 524,872,445 is 1

Step 1: Since 872 > 524, we apply the division lemma to 872 and 524, to get

872 = 524 x 1 + 348

Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 348 and 524, to get

524 = 348 x 1 + 176

Step 3: We consider the new divisor 348 and the new remainder 176, and apply the division lemma to get

348 = 176 x 1 + 172

We consider the new divisor 176 and the new remainder 172,and apply the division lemma to get

176 = 172 x 1 + 4

We consider the new divisor 172 and the new remainder 4,and apply the division lemma to get

172 = 4 x 43 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 524 and 872 is 4

Notice that 4 = HCF(172,4) = HCF(176,172) = HCF(348,176) = HCF(524,348) = HCF(872,524) .

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

Step 1: Since 445 > 4, we apply the division lemma to 445 and 4, to get

445 = 4 x 111 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, 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 4 and 445 is 1

Notice that 1 = HCF(4,1) = HCF(445,4) .

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Frequently Asked Questions on HCF of 524, 872, 445 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 524, 872, 445?

Answer: HCF of 524, 872, 445 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 524, 872, 445 using Euclid's Algorithm?

Answer: For arbitrary numbers 524, 872, 445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.