Highest Common Factor of 3624, 7081 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 3624, 7081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3624, 7081 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 3624, 7081 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 3624, 7081 is 1.
HCF(3624, 7081) = 1
HCF of 3624, 7081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3624, 7081 is 1.
Highest Common Factor of 3624,7081 is 1
Step 1: Since 7081 > 3624, we apply the division lemma to 7081 and 3624, to get
7081 = 3624 x 1 + 3457
Step 2: Since the reminder 3624 ≠ 0, we apply division lemma to 3457 and 3624, to get
3624 = 3457 x 1 + 167
Step 3: We consider the new divisor 3457 and the new remainder 167, and apply the division lemma to get
3457 = 167 x 20 + 117
We consider the new divisor 167 and the new remainder 117,and apply the division lemma to get
167 = 117 x 1 + 50
We consider the new divisor 117 and the new remainder 50,and apply the division lemma to get
117 = 50 x 2 + 17
We consider the new divisor 50 and the new remainder 17,and apply the division lemma to get
50 = 17 x 2 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3624 and 7081 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(50,17) = HCF(117,50) = HCF(167,117) = HCF(3457,167) = HCF(3624,3457) = HCF(7081,3624) .
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Frequently Asked Questions on HCF of 3624, 7081 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 3624, 7081?
Answer: HCF of 3624, 7081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3624, 7081 using Euclid's Algorithm?
Answer: For arbitrary numbers 3624, 7081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
