Highest Common Factor of 9011, 3212 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 9011, 3212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9011, 3212 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 9011, 3212 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 9011, 3212 is 1.
HCF(9011, 3212) = 1
HCF of 9011, 3212 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9011, 3212 is 1.
Highest Common Factor of 9011,3212 is 1
Step 1: Since 9011 > 3212, we apply the division lemma to 9011 and 3212, to get
9011 = 3212 x 2 + 2587
Step 2: Since the reminder 3212 ≠ 0, we apply division lemma to 2587 and 3212, to get
3212 = 2587 x 1 + 625
Step 3: We consider the new divisor 2587 and the new remainder 625, and apply the division lemma to get
2587 = 625 x 4 + 87
We consider the new divisor 625 and the new remainder 87,and apply the division lemma to get
625 = 87 x 7 + 16
We consider the new divisor 87 and the new remainder 16,and apply the division lemma to get
87 = 16 x 5 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9011 and 3212 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(87,16) = HCF(625,87) = HCF(2587,625) = HCF(3212,2587) = HCF(9011,3212) .
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Frequently Asked Questions on HCF of 9011, 3212 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 9011, 3212?
Answer: HCF of 9011, 3212 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9011, 3212 using Euclid's Algorithm?
Answer: For arbitrary numbers 9011, 3212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.