Highest Common Factor of 6582, 4410, 26881 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 6582, 4410, 26881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6582, 4410, 26881 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 6582, 4410, 26881 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 6582, 4410, 26881 is 1.
HCF(6582, 4410, 26881) = 1
HCF of 6582, 4410, 26881 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6582, 4410, 26881 is 1.
Highest Common Factor of 6582,4410,26881 is 1
Step 1: Since 6582 > 4410, we apply the division lemma to 6582 and 4410, to get
6582 = 4410 x 1 + 2172
Step 2: Since the reminder 4410 ≠ 0, we apply division lemma to 2172 and 4410, to get
4410 = 2172 x 2 + 66
Step 3: We consider the new divisor 2172 and the new remainder 66, and apply the division lemma to get
2172 = 66 x 32 + 60
We consider the new divisor 66 and the new remainder 60,and apply the division lemma to get
66 = 60 x 1 + 6
We consider the new divisor 60 and the new remainder 6,and apply the division lemma to get
60 = 6 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6582 and 4410 is 6
Notice that 6 = HCF(60,6) = HCF(66,60) = HCF(2172,66) = HCF(4410,2172) = HCF(6582,4410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26881 > 6, we apply the division lemma to 26881 and 6, to get
26881 = 6 x 4480 + 1
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 1 and 6, to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 26881 is 1
Notice that 1 = HCF(6,1) = HCF(26881,6) .
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Frequently Asked Questions on HCF of 6582, 4410, 26881 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 6582, 4410, 26881?
Answer: HCF of 6582, 4410, 26881 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6582, 4410, 26881 using Euclid's Algorithm?
Answer: For arbitrary numbers 6582, 4410, 26881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.