Highest Common Factor of 8088, 6089 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 8088, 6089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8088, 6089 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 8088, 6089 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 8088, 6089 is 1.
HCF(8088, 6089) = 1
HCF of 8088, 6089 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8088, 6089 is 1.
Highest Common Factor of 8088,6089 is 1
Step 1: Since 8088 > 6089, we apply the division lemma to 8088 and 6089, to get
8088 = 6089 x 1 + 1999
Step 2: Since the reminder 6089 ≠ 0, we apply division lemma to 1999 and 6089, to get
6089 = 1999 x 3 + 92
Step 3: We consider the new divisor 1999 and the new remainder 92, and apply the division lemma to get
1999 = 92 x 21 + 67
We consider the new divisor 92 and the new remainder 67,and apply the division lemma to get
92 = 67 x 1 + 25
We consider the new divisor 67 and the new remainder 25,and apply the division lemma to get
67 = 25 x 2 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8088 and 6089 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(67,25) = HCF(92,67) = HCF(1999,92) = HCF(6089,1999) = HCF(8088,6089) .
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Frequently Asked Questions on HCF of 8088, 6089 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 8088, 6089?
Answer: HCF of 8088, 6089 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8088, 6089 using Euclid's Algorithm?
Answer: For arbitrary numbers 8088, 6089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.