Highest Common Factor of 575, 212, 81, 694 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 575, 212, 81, 694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 212, 81, 694 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 575, 212, 81, 694 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 575, 212, 81, 694 is 1.
HCF(575, 212, 81, 694) = 1
HCF of 575, 212, 81, 694 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 575, 212, 81, 694 is 1.
Highest Common Factor of 575,212,81,694 is 1
Step 1: Since 575 > 212, we apply the division lemma to 575 and 212, to get
575 = 212 x 2 + 151
Step 2: Since the reminder 212 ≠ 0, we apply division lemma to 151 and 212, to get
212 = 151 x 1 + 61
Step 3: We consider the new divisor 151 and the new remainder 61, and apply the division lemma to get
151 = 61 x 2 + 29
We consider the new divisor 61 and the new remainder 29,and apply the division lemma to get
61 = 29 x 2 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 575 and 212 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(61,29) = HCF(151,61) = HCF(212,151) = HCF(575,212) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1
Notice that 1 = HCF(81,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 694 > 1, we apply the division lemma to 694 and 1, to get
694 = 1 x 694 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 694 is 1
Notice that 1 = HCF(694,1) .
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Frequently Asked Questions on HCF of 575, 212, 81, 694 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 575, 212, 81, 694?
Answer: HCF of 575, 212, 81, 694 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 212, 81, 694 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 212, 81, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.