Highest Common Factor of 3862, 9344 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 3862, 9344 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3862, 9344 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 3862, 9344 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 3862, 9344 is 2.
HCF(3862, 9344) = 2
HCF of 3862, 9344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3862, 9344 is 2.
Highest Common Factor of 3862,9344 is 2
Step 1: Since 9344 > 3862, we apply the division lemma to 9344 and 3862, to get
9344 = 3862 x 2 + 1620
Step 2: Since the reminder 3862 ≠ 0, we apply division lemma to 1620 and 3862, to get
3862 = 1620 x 2 + 622
Step 3: We consider the new divisor 1620 and the new remainder 622, and apply the division lemma to get
1620 = 622 x 2 + 376
We consider the new divisor 622 and the new remainder 376,and apply the division lemma to get
622 = 376 x 1 + 246
We consider the new divisor 376 and the new remainder 246,and apply the division lemma to get
376 = 246 x 1 + 130
We consider the new divisor 246 and the new remainder 130,and apply the division lemma to get
246 = 130 x 1 + 116
We consider the new divisor 130 and the new remainder 116,and apply the division lemma to get
130 = 116 x 1 + 14
We consider the new divisor 116 and the new remainder 14,and apply the division lemma to get
116 = 14 x 8 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 3862 and 9344 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(116,14) = HCF(130,116) = HCF(246,130) = HCF(376,246) = HCF(622,376) = HCF(1620,622) = HCF(3862,1620) = HCF(9344,3862) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3862, 9344 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 3862, 9344?
Answer: HCF of 3862, 9344 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3862, 9344 using Euclid's Algorithm?
Answer: For arbitrary numbers 3862, 9344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.