Highest Common Factor of 3962, 2316 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 3962, 2316 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3962, 2316 is 2 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 3962, 2316 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 3962, 2316 is 2.
HCF(3962, 2316) = 2
HCF of 3962, 2316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3962, 2316 is 2.
Highest Common Factor of 3962,2316 is 2
Step 1: Since 3962 > 2316, we apply the division lemma to 3962 and 2316, to get
3962 = 2316 x 1 + 1646
Step 2: Since the reminder 2316 ≠ 0, we apply division lemma to 1646 and 2316, to get
2316 = 1646 x 1 + 670
Step 3: We consider the new divisor 1646 and the new remainder 670, and apply the division lemma to get
1646 = 670 x 2 + 306
We consider the new divisor 670 and the new remainder 306,and apply the division lemma to get
670 = 306 x 2 + 58
We consider the new divisor 306 and the new remainder 58,and apply the division lemma to get
306 = 58 x 5 + 16
We consider the new divisor 58 and the new remainder 16,and apply the division lemma to get
58 = 16 x 3 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3962 and 2316 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(58,16) = HCF(306,58) = HCF(670,306) = HCF(1646,670) = HCF(2316,1646) = HCF(3962,2316) .
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Frequently Asked Questions on HCF of 3962, 2316 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 3962, 2316?
Answer: HCF of 3962, 2316 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3962, 2316 using Euclid's Algorithm?
Answer: For arbitrary numbers 3962, 2316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.