Highest Common Factor of 340, 201, 549 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 340, 201, 549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 340, 201, 549 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 340, 201, 549 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 340, 201, 549 is 1.
HCF(340, 201, 549) = 1
HCF of 340, 201, 549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 340, 201, 549 is 1.
Highest Common Factor of 340,201,549 is 1
Step 1: Since 340 > 201, we apply the division lemma to 340 and 201, to get
340 = 201 x 1 + 139
Step 2: Since the reminder 201 ≠ 0, we apply division lemma to 139 and 201, to get
201 = 139 x 1 + 62
Step 3: We consider the new divisor 139 and the new remainder 62, and apply the division lemma to get
139 = 62 x 2 + 15
We consider the new divisor 62 and the new remainder 15,and apply the division lemma to get
62 = 15 x 4 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 340 and 201 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(62,15) = HCF(139,62) = HCF(201,139) = HCF(340,201) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 549 > 1, we apply the division lemma to 549 and 1, to get
549 = 1 x 549 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 549 is 1
Notice that 1 = HCF(549,1) .
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Frequently Asked Questions on HCF of 340, 201, 549 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 340, 201, 549?
Answer: HCF of 340, 201, 549 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 340, 201, 549 using Euclid's Algorithm?
Answer: For arbitrary numbers 340, 201, 549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.