Highest Common Factor of 683, 68906 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 683, 68906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 683, 68906 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 683, 68906 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 683, 68906 is 1.
HCF(683, 68906) = 1
HCF of 683, 68906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 683, 68906 is 1.
Highest Common Factor of 683,68906 is 1
Step 1: Since 68906 > 683, we apply the division lemma to 68906 and 683, to get
68906 = 683 x 100 + 606
Step 2: Since the reminder 683 ≠ 0, we apply division lemma to 606 and 683, to get
683 = 606 x 1 + 77
Step 3: We consider the new divisor 606 and the new remainder 77, and apply the division lemma to get
606 = 77 x 7 + 67
We consider the new divisor 77 and the new remainder 67,and apply the division lemma to get
77 = 67 x 1 + 10
We consider the new divisor 67 and the new remainder 10,and apply the division lemma to get
67 = 10 x 6 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 683 and 68906 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(67,10) = HCF(77,67) = HCF(606,77) = HCF(683,606) = HCF(68906,683) .
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Frequently Asked Questions on HCF of 683, 68906 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 683, 68906?
Answer: HCF of 683, 68906 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 683, 68906 using Euclid's Algorithm?
Answer: For arbitrary numbers 683, 68906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.