Highest Common Factor of 6090, 6588 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 6090, 6588 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6090, 6588 is 6 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 6090, 6588 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 6090, 6588 is 6.
HCF(6090, 6588) = 6
HCF of 6090, 6588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6090, 6588 is 6.
Highest Common Factor of 6090,6588 is 6
Step 1: Since 6588 > 6090, we apply the division lemma to 6588 and 6090, to get
6588 = 6090 x 1 + 498
Step 2: Since the reminder 6090 ≠ 0, we apply division lemma to 498 and 6090, to get
6090 = 498 x 12 + 114
Step 3: We consider the new divisor 498 and the new remainder 114, and apply the division lemma to get
498 = 114 x 4 + 42
We consider the new divisor 114 and the new remainder 42,and apply the division lemma to get
114 = 42 x 2 + 30
We consider the new divisor 42 and the new remainder 30,and apply the division lemma to get
42 = 30 x 1 + 12
We consider the new divisor 30 and the new remainder 12,and apply the division lemma to get
30 = 12 x 2 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6090 and 6588 is 6
Notice that 6 = HCF(12,6) = HCF(30,12) = HCF(42,30) = HCF(114,42) = HCF(498,114) = HCF(6090,498) = HCF(6588,6090) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6090, 6588 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 6090, 6588?
Answer: HCF of 6090, 6588 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6090, 6588 using Euclid's Algorithm?
Answer: For arbitrary numbers 6090, 6588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.