Highest Common Factor of 613, 83738 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, 83738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 613, 83738 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, 83738 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, 83738 is 1.
HCF(613, 83738) = 1
HCF of 613, 83738 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, 83738 is 1.
Highest Common Factor of 613,83738 is 1
Step 1: Since 83738 > 613, we apply the division lemma to 83738 and 613, to get
83738 = 613 x 136 + 370
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 370 and 613, to get
613 = 370 x 1 + 243
Step 3: We consider the new divisor 370 and the new remainder 243, and apply the division lemma to get
370 = 243 x 1 + 127
We consider the new divisor 243 and the new remainder 127,and apply the division lemma to get
243 = 127 x 1 + 116
We consider the new divisor 127 and the new remainder 116,and apply the division lemma to get
127 = 116 x 1 + 11
We consider the new divisor 116 and the new remainder 11,and apply the division lemma to get
116 = 11 x 10 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 613 and 83738 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(116,11) = HCF(127,116) = HCF(243,127) = HCF(370,243) = HCF(613,370) = HCF(83738,613) .
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Frequently Asked Questions on HCF of 613, 83738 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, 83738?
Answer: HCF of 613, 83738 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 613, 83738 using Euclid's Algorithm?
Answer: For arbitrary numbers 613, 83738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.