Highest Common Factor of 5997, 4605 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 5997, 4605 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5997, 4605 is 3 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 5997, 4605 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 5997, 4605 is 3.
HCF(5997, 4605) = 3
HCF of 5997, 4605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5997, 4605 is 3.
Highest Common Factor of 5997,4605 is 3
Step 1: Since 5997 > 4605, we apply the division lemma to 5997 and 4605, to get
5997 = 4605 x 1 + 1392
Step 2: Since the reminder 4605 ≠ 0, we apply division lemma to 1392 and 4605, to get
4605 = 1392 x 3 + 429
Step 3: We consider the new divisor 1392 and the new remainder 429, and apply the division lemma to get
1392 = 429 x 3 + 105
We consider the new divisor 429 and the new remainder 105,and apply the division lemma to get
429 = 105 x 4 + 9
We consider the new divisor 105 and the new remainder 9,and apply the division lemma to get
105 = 9 x 11 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5997 and 4605 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(105,9) = HCF(429,105) = HCF(1392,429) = HCF(4605,1392) = HCF(5997,4605) .
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Frequently Asked Questions on HCF of 5997, 4605 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 5997, 4605?
Answer: HCF of 5997, 4605 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5997, 4605 using Euclid's Algorithm?
Answer: For arbitrary numbers 5997, 4605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.