Highest Common Factor of 301, 415, 601 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 301, 415, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 301, 415, 601 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 301, 415, 601 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 301, 415, 601 is 1.
HCF(301, 415, 601) = 1
HCF of 301, 415, 601 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 301, 415, 601 is 1.
Highest Common Factor of 301,415,601 is 1
Step 1: Since 415 > 301, we apply the division lemma to 415 and 301, to get
415 = 301 x 1 + 114
Step 2: Since the reminder 301 ≠ 0, we apply division lemma to 114 and 301, to get
301 = 114 x 2 + 73
Step 3: We consider the new divisor 114 and the new remainder 73, and apply the division lemma to get
114 = 73 x 1 + 41
We consider the new divisor 73 and the new remainder 41,and apply the division lemma to get
73 = 41 x 1 + 32
We consider the new divisor 41 and the new remainder 32,and apply the division lemma to get
41 = 32 x 1 + 9
We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get
32 = 9 x 3 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 301 and 415 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(41,32) = HCF(73,41) = HCF(114,73) = HCF(301,114) = HCF(415,301) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 601 > 1, we apply the division lemma to 601 and 1, to get
601 = 1 x 601 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 601 is 1
Notice that 1 = HCF(601,1) .
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Frequently Asked Questions on HCF of 301, 415, 601 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 301, 415, 601?
Answer: HCF of 301, 415, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 301, 415, 601 using Euclid's Algorithm?
Answer: For arbitrary numbers 301, 415, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.