Highest Common Factor of 711, 8347 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 711, 8347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 711, 8347 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 711, 8347 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 711, 8347 is 1.
HCF(711, 8347) = 1
HCF of 711, 8347 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 711, 8347 is 1.
Highest Common Factor of 711,8347 is 1
Step 1: Since 8347 > 711, we apply the division lemma to 8347 and 711, to get
8347 = 711 x 11 + 526
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 526 and 711, to get
711 = 526 x 1 + 185
Step 3: We consider the new divisor 526 and the new remainder 185, and apply the division lemma to get
526 = 185 x 2 + 156
We consider the new divisor 185 and the new remainder 156,and apply the division lemma to get
185 = 156 x 1 + 29
We consider the new divisor 156 and the new remainder 29,and apply the division lemma to get
156 = 29 x 5 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 711 and 8347 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(156,29) = HCF(185,156) = HCF(526,185) = HCF(711,526) = HCF(8347,711) .
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Frequently Asked Questions on HCF of 711, 8347 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 711, 8347?
Answer: HCF of 711, 8347 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 711, 8347 using Euclid's Algorithm?
Answer: For arbitrary numbers 711, 8347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.