Highest Common Factor of 320, 559, 874, 419 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 320, 559, 874, 419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 320, 559, 874, 419 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 320, 559, 874, 419 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 320, 559, 874, 419 is 1.

HCF(320, 559, 874, 419) = 1

HCF of 320, 559, 874, 419 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 320, 559, 874, 419 is 1.

Highest Common Factor of 320,559,874,419 using Euclid's algorithm

Highest Common Factor of 320,559,874,419 is 1

Step 1: Since 559 > 320, we apply the division lemma to 559 and 320, to get

559 = 320 x 1 + 239

Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 239 and 320, to get

320 = 239 x 1 + 81

Step 3: We consider the new divisor 239 and the new remainder 81, and apply the division lemma to get

239 = 81 x 2 + 77

We consider the new divisor 81 and the new remainder 77,and apply the division lemma to get

81 = 77 x 1 + 4

We consider the new divisor 77 and the new remainder 4,and apply the division lemma to get

77 = 4 x 19 + 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 320 and 559 is 1

Notice that 1 = HCF(4,1) = HCF(77,4) = HCF(81,77) = HCF(239,81) = HCF(320,239) = HCF(559,320) .

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

Step 1: Since 874 > 1, we apply the division lemma to 874 and 1, to get

874 = 1 x 874 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 874 is 1

Notice that 1 = HCF(874,1) .

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

Step 1: Since 419 > 1, we apply the division lemma to 419 and 1, to get

419 = 1 x 419 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 419 is 1

Notice that 1 = HCF(419,1) .

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Frequently Asked Questions on HCF of 320, 559, 874, 419 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 320, 559, 874, 419?

Answer: HCF of 320, 559, 874, 419 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 320, 559, 874, 419 using Euclid's Algorithm?

Answer: For arbitrary numbers 320, 559, 874, 419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.