Highest Common Factor of 4605, 5628 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 4605, 5628 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4605, 5628 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 4605, 5628 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 4605, 5628 is 3.
HCF(4605, 5628) = 3
HCF of 4605, 5628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4605, 5628 is 3.
Highest Common Factor of 4605,5628 is 3
Step 1: Since 5628 > 4605, we apply the division lemma to 5628 and 4605, to get
5628 = 4605 x 1 + 1023
Step 2: Since the reminder 4605 ≠ 0, we apply division lemma to 1023 and 4605, to get
4605 = 1023 x 4 + 513
Step 3: We consider the new divisor 1023 and the new remainder 513, and apply the division lemma to get
1023 = 513 x 1 + 510
We consider the new divisor 513 and the new remainder 510,and apply the division lemma to get
513 = 510 x 1 + 3
We consider the new divisor 510 and the new remainder 3,and apply the division lemma to get
510 = 3 x 170 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4605 and 5628 is 3
Notice that 3 = HCF(510,3) = HCF(513,510) = HCF(1023,513) = HCF(4605,1023) = HCF(5628,4605) .
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Frequently Asked Questions on HCF of 4605, 5628 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 4605, 5628?
Answer: HCF of 4605, 5628 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4605, 5628 using Euclid's Algorithm?
Answer: For arbitrary numbers 4605, 5628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.