Highest Common Factor of 3915, 3213 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 3915, 3213 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 3915, 3213 is 27 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 3915, 3213 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 3915, 3213 is 27.
HCF(3915, 3213) = 27
HCF of 3915, 3213 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3915, 3213 is 27.
Highest Common Factor of 3915,3213 is 27
Step 1: Since 3915 > 3213, we apply the division lemma to 3915 and 3213, to get
3915 = 3213 x 1 + 702
Step 2: Since the reminder 3213 ≠ 0, we apply division lemma to 702 and 3213, to get
3213 = 702 x 4 + 405
Step 3: We consider the new divisor 702 and the new remainder 405, and apply the division lemma to get
702 = 405 x 1 + 297
We consider the new divisor 405 and the new remainder 297,and apply the division lemma to get
405 = 297 x 1 + 108
We consider the new divisor 297 and the new remainder 108,and apply the division lemma to get
297 = 108 x 2 + 81
We consider the new divisor 108 and the new remainder 81,and apply the division lemma to get
108 = 81 x 1 + 27
We consider the new divisor 81 and the new remainder 27,and apply the division lemma to get
81 = 27 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 3915 and 3213 is 27
Notice that 27 = HCF(81,27) = HCF(108,81) = HCF(297,108) = HCF(405,297) = HCF(702,405) = HCF(3213,702) = HCF(3915,3213) .
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Frequently Asked Questions on HCF of 3915, 3213 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 3915, 3213?
Answer: HCF of 3915, 3213 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3915, 3213 using Euclid's Algorithm?
Answer: For arbitrary numbers 3915, 3213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.