Highest Common Factor of 3634, 5571 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 3634, 5571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3634, 5571 is 1 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 3634, 5571 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 3634, 5571 is 1.
HCF(3634, 5571) = 1
HCF of 3634, 5571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3634, 5571 is 1.
Highest Common Factor of 3634,5571 is 1
Step 1: Since 5571 > 3634, we apply the division lemma to 5571 and 3634, to get
5571 = 3634 x 1 + 1937
Step 2: Since the reminder 3634 ≠ 0, we apply division lemma to 1937 and 3634, to get
3634 = 1937 x 1 + 1697
Step 3: We consider the new divisor 1937 and the new remainder 1697, and apply the division lemma to get
1937 = 1697 x 1 + 240
We consider the new divisor 1697 and the new remainder 240,and apply the division lemma to get
1697 = 240 x 7 + 17
We consider the new divisor 240 and the new remainder 17,and apply the division lemma to get
240 = 17 x 14 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3634 and 5571 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(240,17) = HCF(1697,240) = HCF(1937,1697) = HCF(3634,1937) = HCF(5571,3634) .
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Frequently Asked Questions on HCF of 3634, 5571 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 3634, 5571?
Answer: HCF of 3634, 5571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3634, 5571 using Euclid's Algorithm?
Answer: For arbitrary numbers 3634, 5571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.