Highest Common Factor of 601, 46503 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 601, 46503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 601, 46503 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 601, 46503 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 601, 46503 is 1.
HCF(601, 46503) = 1
HCF of 601, 46503 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 601, 46503 is 1.
Highest Common Factor of 601,46503 is 1
Step 1: Since 46503 > 601, we apply the division lemma to 46503 and 601, to get
46503 = 601 x 77 + 226
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 226 and 601, to get
601 = 226 x 2 + 149
Step 3: We consider the new divisor 226 and the new remainder 149, and apply the division lemma to get
226 = 149 x 1 + 77
We consider the new divisor 149 and the new remainder 77,and apply the division lemma to get
149 = 77 x 1 + 72
We consider the new divisor 77 and the new remainder 72,and apply the division lemma to get
77 = 72 x 1 + 5
We consider the new divisor 72 and the new remainder 5,and apply the division lemma to get
72 = 5 x 14 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 601 and 46503 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(72,5) = HCF(77,72) = HCF(149,77) = HCF(226,149) = HCF(601,226) = HCF(46503,601) .
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Frequently Asked Questions on HCF of 601, 46503 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 601, 46503?
Answer: HCF of 601, 46503 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 601, 46503 using Euclid's Algorithm?
Answer: For arbitrary numbers 601, 46503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.