Highest Common Factor of 613, 821, 692 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 613, 821, 692 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 821, 692 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 613, 821, 692 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 613, 821, 692 is 1.
HCF(613, 821, 692) = 1
HCF of 613, 821, 692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 613, 821, 692 is 1.
Highest Common Factor of 613,821,692 is 1
Step 1: Since 821 > 613, we apply the division lemma to 821 and 613, to get
821 = 613 x 1 + 208
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 208 and 613, to get
613 = 208 x 2 + 197
Step 3: We consider the new divisor 208 and the new remainder 197, and apply the division lemma to get
208 = 197 x 1 + 11
We consider the new divisor 197 and the new remainder 11,and apply the division lemma to get
197 = 11 x 17 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 821 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(197,11) = HCF(208,197) = HCF(613,208) = HCF(821,613) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 692 > 1, we apply the division lemma to 692 and 1, to get
692 = 1 x 692 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 692 is 1
Notice that 1 = HCF(692,1) .
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Frequently Asked Questions on HCF of 613, 821, 692 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 613, 821, 692?
Answer: HCF of 613, 821, 692 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 821, 692 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 821, 692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.