Highest Common Factor of 6556, 5545 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 6556, 5545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6556, 5545 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 6556, 5545 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 6556, 5545 is 1.
HCF(6556, 5545) = 1
HCF of 6556, 5545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6556, 5545 is 1.
Highest Common Factor of 6556,5545 is 1
Step 1: Since 6556 > 5545, we apply the division lemma to 6556 and 5545, to get
6556 = 5545 x 1 + 1011
Step 2: Since the reminder 5545 ≠ 0, we apply division lemma to 1011 and 5545, to get
5545 = 1011 x 5 + 490
Step 3: We consider the new divisor 1011 and the new remainder 490, and apply the division lemma to get
1011 = 490 x 2 + 31
We consider the new divisor 490 and the new remainder 31,and apply the division lemma to get
490 = 31 x 15 + 25
We consider the new divisor 31 and the new remainder 25,and apply the division lemma to get
31 = 25 x 1 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 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 6556 and 5545 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(31,25) = HCF(490,31) = HCF(1011,490) = HCF(5545,1011) = HCF(6556,5545) .
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Frequently Asked Questions on HCF of 6556, 5545 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 6556, 5545?
Answer: HCF of 6556, 5545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6556, 5545 using Euclid's Algorithm?
Answer: For arbitrary numbers 6556, 5545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.