Highest Common Factor of 601, 838, 658 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, 838, 658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 601, 838, 658 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, 838, 658 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, 838, 658 is 1.
HCF(601, 838, 658) = 1
HCF of 601, 838, 658 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, 838, 658 is 1.
Highest Common Factor of 601,838,658 is 1
Step 1: Since 838 > 601, we apply the division lemma to 838 and 601, to get
838 = 601 x 1 + 237
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 237 and 601, to get
601 = 237 x 2 + 127
Step 3: We consider the new divisor 237 and the new remainder 127, and apply the division lemma to get
237 = 127 x 1 + 110
We consider the new divisor 127 and the new remainder 110,and apply the division lemma to get
127 = 110 x 1 + 17
We consider the new divisor 110 and the new remainder 17,and apply the division lemma to get
110 = 17 x 6 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 838 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(110,17) = HCF(127,110) = HCF(237,127) = HCF(601,237) = HCF(838,601) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 658 > 1, we apply the division lemma to 658 and 1, to get
658 = 1 x 658 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 658 is 1
Notice that 1 = HCF(658,1) .
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Frequently Asked Questions on HCF of 601, 838, 658 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, 838, 658?
Answer: HCF of 601, 838, 658 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 601, 838, 658 using Euclid's Algorithm?
Answer: For arbitrary numbers 601, 838, 658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.