Highest Common Factor of 6818, 3702 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 6818, 3702 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6818, 3702 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 6818, 3702 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 6818, 3702 is 2.
HCF(6818, 3702) = 2
HCF of 6818, 3702 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6818, 3702 is 2.
Highest Common Factor of 6818,3702 is 2
Step 1: Since 6818 > 3702, we apply the division lemma to 6818 and 3702, to get
6818 = 3702 x 1 + 3116
Step 2: Since the reminder 3702 ≠ 0, we apply division lemma to 3116 and 3702, to get
3702 = 3116 x 1 + 586
Step 3: We consider the new divisor 3116 and the new remainder 586, and apply the division lemma to get
3116 = 586 x 5 + 186
We consider the new divisor 586 and the new remainder 186,and apply the division lemma to get
586 = 186 x 3 + 28
We consider the new divisor 186 and the new remainder 28,and apply the division lemma to get
186 = 28 x 6 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6818 and 3702 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(186,28) = HCF(586,186) = HCF(3116,586) = HCF(3702,3116) = HCF(6818,3702) .
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Frequently Asked Questions on HCF of 6818, 3702 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 6818, 3702?
Answer: HCF of 6818, 3702 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6818, 3702 using Euclid's Algorithm?
Answer: For arbitrary numbers 6818, 3702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
