Highest Common Factor of 702, 8165, 5807 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 702, 8165, 5807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 702, 8165, 5807 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 702, 8165, 5807 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 702, 8165, 5807 is 1.
HCF(702, 8165, 5807) = 1
HCF of 702, 8165, 5807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 702, 8165, 5807 is 1.
Highest Common Factor of 702,8165,5807 is 1
Step 1: Since 8165 > 702, we apply the division lemma to 8165 and 702, to get
8165 = 702 x 11 + 443
Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 443 and 702, to get
702 = 443 x 1 + 259
Step 3: We consider the new divisor 443 and the new remainder 259, and apply the division lemma to get
443 = 259 x 1 + 184
We consider the new divisor 259 and the new remainder 184,and apply the division lemma to get
259 = 184 x 1 + 75
We consider the new divisor 184 and the new remainder 75,and apply the division lemma to get
184 = 75 x 2 + 34
We consider the new divisor 75 and the new remainder 34,and apply the division lemma to get
75 = 34 x 2 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 702 and 8165 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(75,34) = HCF(184,75) = HCF(259,184) = HCF(443,259) = HCF(702,443) = HCF(8165,702) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5807 > 1, we apply the division lemma to 5807 and 1, to get
5807 = 1 x 5807 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5807 is 1
Notice that 1 = HCF(5807,1) .
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Frequently Asked Questions on HCF of 702, 8165, 5807 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 702, 8165, 5807?
Answer: HCF of 702, 8165, 5807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 702, 8165, 5807 using Euclid's Algorithm?
Answer: For arbitrary numbers 702, 8165, 5807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.