Highest Common Factor of 3545, 5011 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 3545, 5011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3545, 5011 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 3545, 5011 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 3545, 5011 is 1.
HCF(3545, 5011) = 1
HCF of 3545, 5011 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3545, 5011 is 1.
Highest Common Factor of 3545,5011 is 1
Step 1: Since 5011 > 3545, we apply the division lemma to 5011 and 3545, to get
5011 = 3545 x 1 + 1466
Step 2: Since the reminder 3545 ≠ 0, we apply division lemma to 1466 and 3545, to get
3545 = 1466 x 2 + 613
Step 3: We consider the new divisor 1466 and the new remainder 613, and apply the division lemma to get
1466 = 613 x 2 + 240
We consider the new divisor 613 and the new remainder 240,and apply the division lemma to get
613 = 240 x 2 + 133
We consider the new divisor 240 and the new remainder 133,and apply the division lemma to get
240 = 133 x 1 + 107
We consider the new divisor 133 and the new remainder 107,and apply the division lemma to get
133 = 107 x 1 + 26
We consider the new divisor 107 and the new remainder 26,and apply the division lemma to get
107 = 26 x 4 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 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 3545 and 5011 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(107,26) = HCF(133,107) = HCF(240,133) = HCF(613,240) = HCF(1466,613) = HCF(3545,1466) = HCF(5011,3545) .
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Frequently Asked Questions on HCF of 3545, 5011 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 3545, 5011?
Answer: HCF of 3545, 5011 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3545, 5011 using Euclid's Algorithm?
Answer: For arbitrary numbers 3545, 5011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.