Highest Common Factor of 847, 613 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 847, 613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 847, 613 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 847, 613 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 847, 613 is 1.
HCF(847, 613) = 1
HCF of 847, 613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 847, 613 is 1.
Highest Common Factor of 847,613 is 1
Step 1: Since 847 > 613, we apply the division lemma to 847 and 613, to get
847 = 613 x 1 + 234
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 234 and 613, to get
613 = 234 x 2 + 145
Step 3: We consider the new divisor 234 and the new remainder 145, and apply the division lemma to get
234 = 145 x 1 + 89
We consider the new divisor 145 and the new remainder 89,and apply the division lemma to get
145 = 89 x 1 + 56
We consider the new divisor 89 and the new remainder 56,and apply the division lemma to get
89 = 56 x 1 + 33
We consider the new divisor 56 and the new remainder 33,and apply the division lemma to get
56 = 33 x 1 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 847 and 613 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(56,33) = HCF(89,56) = HCF(145,89) = HCF(234,145) = HCF(613,234) = HCF(847,613) .
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Frequently Asked Questions on HCF of 847, 613 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 847, 613?
Answer: HCF of 847, 613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 847, 613 using Euclid's Algorithm?
Answer: For arbitrary numbers 847, 613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.