Highest Common Factor of 6702, 3220 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 6702, 3220 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6702, 3220 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 6702, 3220 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 6702, 3220 is 2.
HCF(6702, 3220) = 2
HCF of 6702, 3220 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6702, 3220 is 2.
Highest Common Factor of 6702,3220 is 2
Step 1: Since 6702 > 3220, we apply the division lemma to 6702 and 3220, to get
6702 = 3220 x 2 + 262
Step 2: Since the reminder 3220 ≠ 0, we apply division lemma to 262 and 3220, to get
3220 = 262 x 12 + 76
Step 3: We consider the new divisor 262 and the new remainder 76, and apply the division lemma to get
262 = 76 x 3 + 34
We consider the new divisor 76 and the new remainder 34,and apply the division lemma to get
76 = 34 x 2 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 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 6702 and 3220 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(76,34) = HCF(262,76) = HCF(3220,262) = HCF(6702,3220) .
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Frequently Asked Questions on HCF of 6702, 3220 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 6702, 3220?
Answer: HCF of 6702, 3220 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6702, 3220 using Euclid's Algorithm?
Answer: For arbitrary numbers 6702, 3220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.