Highest Common Factor of 8994, 4590 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 8994, 4590 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8994, 4590 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 8994, 4590 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 8994, 4590 is 6.
HCF(8994, 4590) = 6
HCF of 8994, 4590 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8994, 4590 is 6.
Highest Common Factor of 8994,4590 is 6
Step 1: Since 8994 > 4590, we apply the division lemma to 8994 and 4590, to get
8994 = 4590 x 1 + 4404
Step 2: Since the reminder 4590 ≠ 0, we apply division lemma to 4404 and 4590, to get
4590 = 4404 x 1 + 186
Step 3: We consider the new divisor 4404 and the new remainder 186, and apply the division lemma to get
4404 = 186 x 23 + 126
We consider the new divisor 186 and the new remainder 126,and apply the division lemma to get
186 = 126 x 1 + 60
We consider the new divisor 126 and the new remainder 60,and apply the division lemma to get
126 = 60 x 2 + 6
We consider the new divisor 60 and the new remainder 6,and apply the division lemma to get
60 = 6 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8994 and 4590 is 6
Notice that 6 = HCF(60,6) = HCF(126,60) = HCF(186,126) = HCF(4404,186) = HCF(4590,4404) = HCF(8994,4590) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8994, 4590 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 8994, 4590?
Answer: HCF of 8994, 4590 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8994, 4590 using Euclid's Algorithm?
Answer: For arbitrary numbers 8994, 4590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.