Highest Common Factor of 215, 516, 194 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 215, 516, 194 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 215, 516, 194 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 215, 516, 194 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 215, 516, 194 is 1.
HCF(215, 516, 194) = 1
HCF of 215, 516, 194 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 215, 516, 194 is 1.
Highest Common Factor of 215,516,194 is 1
Step 1: Since 516 > 215, we apply the division lemma to 516 and 215, to get
516 = 215 x 2 + 86
Step 2: Since the reminder 215 ≠ 0, we apply division lemma to 86 and 215, to get
215 = 86 x 2 + 43
Step 3: We consider the new divisor 86 and the new remainder 43, and apply the division lemma to get
86 = 43 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 215 and 516 is 43
Notice that 43 = HCF(86,43) = HCF(215,86) = HCF(516,215) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 194 > 43, we apply the division lemma to 194 and 43, to get
194 = 43 x 4 + 22
Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 22 and 43, to get
43 = 22 x 1 + 21
Step 3: We consider the new divisor 22 and the new remainder 21, and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1, and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 43 and 194 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(43,22) = HCF(194,43) .
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Frequently Asked Questions on HCF of 215, 516, 194 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 215, 516, 194?
Answer: HCF of 215, 516, 194 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 215, 516, 194 using Euclid's Algorithm?
Answer: For arbitrary numbers 215, 516, 194 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.