Highest Common Factor of 354, 388, 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 354, 388, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 354, 388, 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 354, 388, 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 354, 388, 601 is 1.
HCF(354, 388, 601) = 1
HCF of 354, 388, 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 354, 388, 601 is 1.
Highest Common Factor of 354,388,601 is 1
Step 1: Since 388 > 354, we apply the division lemma to 388 and 354, to get
388 = 354 x 1 + 34
Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 34 and 354, to get
354 = 34 x 10 + 14
Step 3: We consider the new divisor 34 and the new remainder 14, and apply the division lemma to get
34 = 14 x 2 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 354 and 388 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(34,14) = HCF(354,34) = HCF(388,354) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 601 > 2, we apply the division lemma to 601 and 2, to get
601 = 2 x 300 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 601 is 1
Notice that 1 = HCF(2,1) = HCF(601,2) .
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Frequently Asked Questions on HCF of 354, 388, 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 354, 388, 601?
Answer: HCF of 354, 388, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 354, 388, 601 using Euclid's Algorithm?
Answer: For arbitrary numbers 354, 388, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
