Highest Common Factor of 3279, 6262 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 3279, 6262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3279, 6262 is 1 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 3279, 6262 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 3279, 6262 is 1.
HCF(3279, 6262) = 1
HCF of 3279, 6262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3279, 6262 is 1.
Highest Common Factor of 3279,6262 is 1
Step 1: Since 6262 > 3279, we apply the division lemma to 6262 and 3279, to get
6262 = 3279 x 1 + 2983
Step 2: Since the reminder 3279 ≠ 0, we apply division lemma to 2983 and 3279, to get
3279 = 2983 x 1 + 296
Step 3: We consider the new divisor 2983 and the new remainder 296, and apply the division lemma to get
2983 = 296 x 10 + 23
We consider the new divisor 296 and the new remainder 23,and apply the division lemma to get
296 = 23 x 12 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3279 and 6262 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(296,23) = HCF(2983,296) = HCF(3279,2983) = HCF(6262,3279) .
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Frequently Asked Questions on HCF of 3279, 6262 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 3279, 6262?
Answer: HCF of 3279, 6262 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3279, 6262 using Euclid's Algorithm?
Answer: For arbitrary numbers 3279, 6262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.