Highest Common Factor of 3632, 5892 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 3632, 5892 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3632, 5892 is 4 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 3632, 5892 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 3632, 5892 is 4.
HCF(3632, 5892) = 4
HCF of 3632, 5892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3632, 5892 is 4.
Highest Common Factor of 3632,5892 is 4
Step 1: Since 5892 > 3632, we apply the division lemma to 5892 and 3632, to get
5892 = 3632 x 1 + 2260
Step 2: Since the reminder 3632 ≠ 0, we apply division lemma to 2260 and 3632, to get
3632 = 2260 x 1 + 1372
Step 3: We consider the new divisor 2260 and the new remainder 1372, and apply the division lemma to get
2260 = 1372 x 1 + 888
We consider the new divisor 1372 and the new remainder 888,and apply the division lemma to get
1372 = 888 x 1 + 484
We consider the new divisor 888 and the new remainder 484,and apply the division lemma to get
888 = 484 x 1 + 404
We consider the new divisor 484 and the new remainder 404,and apply the division lemma to get
484 = 404 x 1 + 80
We consider the new divisor 404 and the new remainder 80,and apply the division lemma to get
404 = 80 x 5 + 4
We consider the new divisor 80 and the new remainder 4,and apply the division lemma to get
80 = 4 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3632 and 5892 is 4
Notice that 4 = HCF(80,4) = HCF(404,80) = HCF(484,404) = HCF(888,484) = HCF(1372,888) = HCF(2260,1372) = HCF(3632,2260) = HCF(5892,3632) .
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Frequently Asked Questions on HCF of 3632, 5892 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 3632, 5892?
Answer: HCF of 3632, 5892 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3632, 5892 using Euclid's Algorithm?
Answer: For arbitrary numbers 3632, 5892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.