Highest Common Factor of 8015, 6609 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 8015, 6609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8015, 6609 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 8015, 6609 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 8015, 6609 is 1.
HCF(8015, 6609) = 1
HCF of 8015, 6609 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8015, 6609 is 1.
Highest Common Factor of 8015,6609 is 1
Step 1: Since 8015 > 6609, we apply the division lemma to 8015 and 6609, to get
8015 = 6609 x 1 + 1406
Step 2: Since the reminder 6609 ≠ 0, we apply division lemma to 1406 and 6609, to get
6609 = 1406 x 4 + 985
Step 3: We consider the new divisor 1406 and the new remainder 985, and apply the division lemma to get
1406 = 985 x 1 + 421
We consider the new divisor 985 and the new remainder 421,and apply the division lemma to get
985 = 421 x 2 + 143
We consider the new divisor 421 and the new remainder 143,and apply the division lemma to get
421 = 143 x 2 + 135
We consider the new divisor 143 and the new remainder 135,and apply the division lemma to get
143 = 135 x 1 + 8
We consider the new divisor 135 and the new remainder 8,and apply the division lemma to get
135 = 8 x 16 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8015 and 6609 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(135,8) = HCF(143,135) = HCF(421,143) = HCF(985,421) = HCF(1406,985) = HCF(6609,1406) = HCF(8015,6609) .
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Frequently Asked Questions on HCF of 8015, 6609 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 8015, 6609?
Answer: HCF of 8015, 6609 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8015, 6609 using Euclid's Algorithm?
Answer: For arbitrary numbers 8015, 6609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.