Highest Common Factor of 360, 559, 964 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 360, 559, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 360, 559, 964 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 360, 559, 964 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 360, 559, 964 is 1.

HCF(360, 559, 964) = 1

HCF of 360, 559, 964 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 360, 559, 964 is 1.

Highest Common Factor of 360,559,964 using Euclid's algorithm

Highest Common Factor of 360,559,964 is 1

Step 1: Since 559 > 360, we apply the division lemma to 559 and 360, to get

559 = 360 x 1 + 199

Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 199 and 360, to get

360 = 199 x 1 + 161

Step 3: We consider the new divisor 199 and the new remainder 161, and apply the division lemma to get

199 = 161 x 1 + 38

We consider the new divisor 161 and the new remainder 38,and apply the division lemma to get

161 = 38 x 4 + 9

We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get

38 = 9 x 4 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 360 and 559 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(161,38) = HCF(199,161) = HCF(360,199) = HCF(559,360) .

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

Step 1: Since 964 > 1, we apply the division lemma to 964 and 1, to get

964 = 1 x 964 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 964 is 1

Notice that 1 = HCF(964,1) .

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Frequently Asked Questions on HCF of 360, 559, 964 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 360, 559, 964?

Answer: HCF of 360, 559, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 360, 559, 964 using Euclid's Algorithm?

Answer: For arbitrary numbers 360, 559, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.