Highest Common Factor of 3621, 4011 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 3621, 4011 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3621, 4011 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 3621, 4011 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 3621, 4011 is 3.
HCF(3621, 4011) = 3
HCF of 3621, 4011 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3621, 4011 is 3.
Highest Common Factor of 3621,4011 is 3
Step 1: Since 4011 > 3621, we apply the division lemma to 4011 and 3621, to get
4011 = 3621 x 1 + 390
Step 2: Since the reminder 3621 ≠ 0, we apply division lemma to 390 and 3621, to get
3621 = 390 x 9 + 111
Step 3: We consider the new divisor 390 and the new remainder 111, and apply the division lemma to get
390 = 111 x 3 + 57
We consider the new divisor 111 and the new remainder 57,and apply the division lemma to get
111 = 57 x 1 + 54
We consider the new divisor 57 and the new remainder 54,and apply the division lemma to get
57 = 54 x 1 + 3
We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get
54 = 3 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3621 and 4011 is 3
Notice that 3 = HCF(54,3) = HCF(57,54) = HCF(111,57) = HCF(390,111) = HCF(3621,390) = HCF(4011,3621) .
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Frequently Asked Questions on HCF of 3621, 4011 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 3621, 4011?
Answer: HCF of 3621, 4011 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3621, 4011 using Euclid's Algorithm?
Answer: For arbitrary numbers 3621, 4011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.