Highest Common Factor of 4535, 6605 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 4535, 6605 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4535, 6605 is 5 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 4535, 6605 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 4535, 6605 is 5.
HCF(4535, 6605) = 5
HCF of 4535, 6605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4535, 6605 is 5.
Highest Common Factor of 4535,6605 is 5
Step 1: Since 6605 > 4535, we apply the division lemma to 6605 and 4535, to get
6605 = 4535 x 1 + 2070
Step 2: Since the reminder 4535 ≠ 0, we apply division lemma to 2070 and 4535, to get
4535 = 2070 x 2 + 395
Step 3: We consider the new divisor 2070 and the new remainder 395, and apply the division lemma to get
2070 = 395 x 5 + 95
We consider the new divisor 395 and the new remainder 95,and apply the division lemma to get
395 = 95 x 4 + 15
We consider the new divisor 95 and the new remainder 15,and apply the division lemma to get
95 = 15 x 6 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4535 and 6605 is 5
Notice that 5 = HCF(15,5) = HCF(95,15) = HCF(395,95) = HCF(2070,395) = HCF(4535,2070) = HCF(6605,4535) .
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Frequently Asked Questions on HCF of 4535, 6605 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 4535, 6605?
Answer: HCF of 4535, 6605 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4535, 6605 using Euclid's Algorithm?
Answer: For arbitrary numbers 4535, 6605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.