Highest Common Factor of 559, 4320 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 559, 4320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 559, 4320 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 559, 4320 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 559, 4320 is 1.

HCF(559, 4320) = 1

HCF of 559, 4320 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 559, 4320 is 1.

Highest Common Factor of 559,4320 using Euclid's algorithm

Highest Common Factor of 559,4320 is 1

Step 1: Since 4320 > 559, we apply the division lemma to 4320 and 559, to get

4320 = 559 x 7 + 407

Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 407 and 559, to get

559 = 407 x 1 + 152

Step 3: We consider the new divisor 407 and the new remainder 152, and apply the division lemma to get

407 = 152 x 2 + 103

We consider the new divisor 152 and the new remainder 103,and apply the division lemma to get

152 = 103 x 1 + 49

We consider the new divisor 103 and the new remainder 49,and apply the division lemma to get

103 = 49 x 2 + 5

We consider the new divisor 49 and the new remainder 5,and apply the division lemma to get

49 = 5 x 9 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 559 and 4320 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) = HCF(103,49) = HCF(152,103) = HCF(407,152) = HCF(559,407) = HCF(4320,559) .

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Frequently Asked Questions on HCF of 559, 4320 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 559, 4320?

Answer: HCF of 559, 4320 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 559, 4320 using Euclid's Algorithm?

Answer: For arbitrary numbers 559, 4320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.