Highest Common Factor of 2599, 9990 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 2599, 9990 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2599, 9990 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 2599, 9990 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 2599, 9990 is 1.

HCF(2599, 9990) = 1

HCF of 2599, 9990 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 2599, 9990 is 1.

Highest Common Factor of 2599,9990 using Euclid's algorithm

Highest Common Factor of 2599,9990 is 1

Step 1: Since 9990 > 2599, we apply the division lemma to 9990 and 2599, to get

9990 = 2599 x 3 + 2193

Step 2: Since the reminder 2599 ≠ 0, we apply division lemma to 2193 and 2599, to get

2599 = 2193 x 1 + 406

Step 3: We consider the new divisor 2193 and the new remainder 406, and apply the division lemma to get

2193 = 406 x 5 + 163

We consider the new divisor 406 and the new remainder 163,and apply the division lemma to get

406 = 163 x 2 + 80

We consider the new divisor 163 and the new remainder 80,and apply the division lemma to get

163 = 80 x 2 + 3

We consider the new divisor 80 and the new remainder 3,and apply the division lemma to get

80 = 3 x 26 + 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 2599 and 9990 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(80,3) = HCF(163,80) = HCF(406,163) = HCF(2193,406) = HCF(2599,2193) = HCF(9990,2599) .

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Frequently Asked Questions on HCF of 2599, 9990 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 2599, 9990?

Answer: HCF of 2599, 9990 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2599, 9990 using Euclid's Algorithm?

Answer: For arbitrary numbers 2599, 9990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.