Highest Common Factor of 8599, 9870 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 8599, 9870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8599, 9870 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 8599, 9870 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 8599, 9870 is 1.

HCF(8599, 9870) = 1

HCF of 8599, 9870 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 8599, 9870 is 1.

Highest Common Factor of 8599,9870 using Euclid's algorithm

Highest Common Factor of 8599,9870 is 1

Step 1: Since 9870 > 8599, we apply the division lemma to 9870 and 8599, to get

9870 = 8599 x 1 + 1271

Step 2: Since the reminder 8599 ≠ 0, we apply division lemma to 1271 and 8599, to get

8599 = 1271 x 6 + 973

Step 3: We consider the new divisor 1271 and the new remainder 973, and apply the division lemma to get

1271 = 973 x 1 + 298

We consider the new divisor 973 and the new remainder 298,and apply the division lemma to get

973 = 298 x 3 + 79

We consider the new divisor 298 and the new remainder 79,and apply the division lemma to get

298 = 79 x 3 + 61

We consider the new divisor 79 and the new remainder 61,and apply the division lemma to get

79 = 61 x 1 + 18

We consider the new divisor 61 and the new remainder 18,and apply the division lemma to get

61 = 18 x 3 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8599 and 9870 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(61,18) = HCF(79,61) = HCF(298,79) = HCF(973,298) = HCF(1271,973) = HCF(8599,1271) = HCF(9870,8599) .

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Frequently Asked Questions on HCF of 8599, 9870 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 8599, 9870?

Answer: HCF of 8599, 9870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8599, 9870 using Euclid's Algorithm?

Answer: For arbitrary numbers 8599, 9870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.