Highest Common Factor of 3816, 9012 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 3816, 9012 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 3816, 9012 is 12 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 3816, 9012 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 3816, 9012 is 12.
HCF(3816, 9012) = 12
HCF of 3816, 9012 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3816, 9012 is 12.
Highest Common Factor of 3816,9012 is 12
Step 1: Since 9012 > 3816, we apply the division lemma to 9012 and 3816, to get
9012 = 3816 x 2 + 1380
Step 2: Since the reminder 3816 ≠ 0, we apply division lemma to 1380 and 3816, to get
3816 = 1380 x 2 + 1056
Step 3: We consider the new divisor 1380 and the new remainder 1056, and apply the division lemma to get
1380 = 1056 x 1 + 324
We consider the new divisor 1056 and the new remainder 324,and apply the division lemma to get
1056 = 324 x 3 + 84
We consider the new divisor 324 and the new remainder 84,and apply the division lemma to get
324 = 84 x 3 + 72
We consider the new divisor 84 and the new remainder 72,and apply the division lemma to get
84 = 72 x 1 + 12
We consider the new divisor 72 and the new remainder 12,and apply the division lemma to get
72 = 12 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 3816 and 9012 is 12
Notice that 12 = HCF(72,12) = HCF(84,72) = HCF(324,84) = HCF(1056,324) = HCF(1380,1056) = HCF(3816,1380) = HCF(9012,3816) .
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Frequently Asked Questions on HCF of 3816, 9012 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 3816, 9012?
Answer: HCF of 3816, 9012 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3816, 9012 using Euclid's Algorithm?
Answer: For arbitrary numbers 3816, 9012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.