Highest Common Factor of 599, 961 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 599, 961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 599, 961 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 599, 961 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 599, 961 is 1.

HCF(599, 961) = 1

HCF of 599, 961 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 599, 961 is 1.

Highest Common Factor of 599,961 using Euclid's algorithm

Highest Common Factor of 599,961 is 1

Step 1: Since 961 > 599, we apply the division lemma to 961 and 599, to get

961 = 599 x 1 + 362

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 362 and 599, to get

599 = 362 x 1 + 237

Step 3: We consider the new divisor 362 and the new remainder 237, and apply the division lemma to get

362 = 237 x 1 + 125

We consider the new divisor 237 and the new remainder 125,and apply the division lemma to get

237 = 125 x 1 + 112

We consider the new divisor 125 and the new remainder 112,and apply the division lemma to get

125 = 112 x 1 + 13

We consider the new divisor 112 and the new remainder 13,and apply the division lemma to get

112 = 13 x 8 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 599 and 961 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(112,13) = HCF(125,112) = HCF(237,125) = HCF(362,237) = HCF(599,362) = HCF(961,599) .

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Frequently Asked Questions on HCF of 599, 961 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 599, 961?

Answer: HCF of 599, 961 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 599, 961 using Euclid's Algorithm?

Answer: For arbitrary numbers 599, 961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.