Highest Common Factor of 199, 340, 36 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 199, 340, 36 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 199, 340, 36 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 199, 340, 36 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 199, 340, 36 is 1.
HCF(199, 340, 36) = 1
HCF of 199, 340, 36 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 199, 340, 36 is 1.
Highest Common Factor of 199,340,36 is 1
Step 1: Since 340 > 199, we apply the division lemma to 340 and 199, to get
340 = 199 x 1 + 141
Step 2: Since the reminder 199 ≠ 0, we apply division lemma to 141 and 199, to get
199 = 141 x 1 + 58
Step 3: We consider the new divisor 141 and the new remainder 58, and apply the division lemma to get
141 = 58 x 2 + 25
We consider the new divisor 58 and the new remainder 25,and apply the division lemma to get
58 = 25 x 2 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 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 199 and 340 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(58,25) = HCF(141,58) = HCF(199,141) = HCF(340,199) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 1, we apply the division lemma to 36 and 1, to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36 is 1
Notice that 1 = HCF(36,1) .
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Frequently Asked Questions on HCF of 199, 340, 36 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 199, 340, 36?
Answer: HCF of 199, 340, 36 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 199, 340, 36 using Euclid's Algorithm?
Answer: For arbitrary numbers 199, 340, 36 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.