Highest Common Factor of 556, 5965 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 556, 5965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 556, 5965 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 556, 5965 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 556, 5965 is 1.
HCF(556, 5965) = 1
HCF of 556, 5965 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 556, 5965 is 1.
Highest Common Factor of 556,5965 is 1
Step 1: Since 5965 > 556, we apply the division lemma to 5965 and 556, to get
5965 = 556 x 10 + 405
Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 405 and 556, to get
556 = 405 x 1 + 151
Step 3: We consider the new divisor 405 and the new remainder 151, and apply the division lemma to get
405 = 151 x 2 + 103
We consider the new divisor 151 and the new remainder 103,and apply the division lemma to get
151 = 103 x 1 + 48
We consider the new divisor 103 and the new remainder 48,and apply the division lemma to get
103 = 48 x 2 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma 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 556 and 5965 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(103,48) = HCF(151,103) = HCF(405,151) = HCF(556,405) = HCF(5965,556) .
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Frequently Asked Questions on HCF of 556, 5965 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 556, 5965?
Answer: HCF of 556, 5965 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 556, 5965 using Euclid's Algorithm?
Answer: For arbitrary numbers 556, 5965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.