Highest Common Factor of 875, 559, 482 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 875, 559, 482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 875, 559, 482 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 875, 559, 482 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 875, 559, 482 is 1.

HCF(875, 559, 482) = 1

HCF of 875, 559, 482 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 875, 559, 482 is 1.

Highest Common Factor of 875,559,482 using Euclid's algorithm

Highest Common Factor of 875,559,482 is 1

Step 1: Since 875 > 559, we apply the division lemma to 875 and 559, to get

875 = 559 x 1 + 316

Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 316 and 559, to get

559 = 316 x 1 + 243

Step 3: We consider the new divisor 316 and the new remainder 243, and apply the division lemma to get

316 = 243 x 1 + 73

We consider the new divisor 243 and the new remainder 73,and apply the division lemma to get

243 = 73 x 3 + 24

We consider the new divisor 73 and the new remainder 24,and apply the division lemma to get

73 = 24 x 3 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 875 and 559 is 1

Notice that 1 = HCF(24,1) = HCF(73,24) = HCF(243,73) = HCF(316,243) = HCF(559,316) = HCF(875,559) .

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

Step 1: Since 482 > 1, we apply the division lemma to 482 and 1, to get

482 = 1 x 482 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 482 is 1

Notice that 1 = HCF(482,1) .

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Frequently Asked Questions on HCF of 875, 559, 482 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 875, 559, 482?

Answer: HCF of 875, 559, 482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 875, 559, 482 using Euclid's Algorithm?

Answer: For arbitrary numbers 875, 559, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.