Highest Common Factor of 3220, 5803, 62786 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 3220, 5803, 62786 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3220, 5803, 62786 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 3220, 5803, 62786 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 3220, 5803, 62786 is 1.
HCF(3220, 5803, 62786) = 1
HCF of 3220, 5803, 62786 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3220, 5803, 62786 is 1.
Highest Common Factor of 3220,5803,62786 is 1
Step 1: Since 5803 > 3220, we apply the division lemma to 5803 and 3220, to get
5803 = 3220 x 1 + 2583
Step 2: Since the reminder 3220 ≠ 0, we apply division lemma to 2583 and 3220, to get
3220 = 2583 x 1 + 637
Step 3: We consider the new divisor 2583 and the new remainder 637, and apply the division lemma to get
2583 = 637 x 4 + 35
We consider the new divisor 637 and the new remainder 35,and apply the division lemma to get
637 = 35 x 18 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3220 and 5803 is 7
Notice that 7 = HCF(35,7) = HCF(637,35) = HCF(2583,637) = HCF(3220,2583) = HCF(5803,3220) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62786 > 7, we apply the division lemma to 62786 and 7, to get
62786 = 7 x 8969 + 3
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get
7 = 3 x 2 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 62786 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(62786,7) .
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Frequently Asked Questions on HCF of 3220, 5803, 62786 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 3220, 5803, 62786?
Answer: HCF of 3220, 5803, 62786 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3220, 5803, 62786 using Euclid's Algorithm?
Answer: For arbitrary numbers 3220, 5803, 62786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
