Highest Common Factor of 6392, 8605 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 6392, 8605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6392, 8605 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 6392, 8605 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 6392, 8605 is 1.
HCF(6392, 8605) = 1
HCF of 6392, 8605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6392, 8605 is 1.
Highest Common Factor of 6392,8605 is 1
Step 1: Since 8605 > 6392, we apply the division lemma to 8605 and 6392, to get
8605 = 6392 x 1 + 2213
Step 2: Since the reminder 6392 ≠ 0, we apply division lemma to 2213 and 6392, to get
6392 = 2213 x 2 + 1966
Step 3: We consider the new divisor 2213 and the new remainder 1966, and apply the division lemma to get
2213 = 1966 x 1 + 247
We consider the new divisor 1966 and the new remainder 247,and apply the division lemma to get
1966 = 247 x 7 + 237
We consider the new divisor 247 and the new remainder 237,and apply the division lemma to get
247 = 237 x 1 + 10
We consider the new divisor 237 and the new remainder 10,and apply the division lemma to get
237 = 10 x 23 + 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 6392 and 8605 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(237,10) = HCF(247,237) = HCF(1966,247) = HCF(2213,1966) = HCF(6392,2213) = HCF(8605,6392) .
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Frequently Asked Questions on HCF of 6392, 8605 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 6392, 8605?
Answer: HCF of 6392, 8605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6392, 8605 using Euclid's Algorithm?
Answer: For arbitrary numbers 6392, 8605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.