Highest Common Factor of 6662, 9013 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 6662, 9013 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6662, 9013 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 6662, 9013 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 6662, 9013 is 1.
HCF(6662, 9013) = 1
HCF of 6662, 9013 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6662, 9013 is 1.
Highest Common Factor of 6662,9013 is 1
Step 1: Since 9013 > 6662, we apply the division lemma to 9013 and 6662, to get
9013 = 6662 x 1 + 2351
Step 2: Since the reminder 6662 ≠ 0, we apply division lemma to 2351 and 6662, to get
6662 = 2351 x 2 + 1960
Step 3: We consider the new divisor 2351 and the new remainder 1960, and apply the division lemma to get
2351 = 1960 x 1 + 391
We consider the new divisor 1960 and the new remainder 391,and apply the division lemma to get
1960 = 391 x 5 + 5
We consider the new divisor 391 and the new remainder 5,and apply the division lemma to get
391 = 5 x 78 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6662 and 9013 is 1
Notice that 1 = HCF(5,1) = HCF(391,5) = HCF(1960,391) = HCF(2351,1960) = HCF(6662,2351) = HCF(9013,6662) .
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Frequently Asked Questions on HCF of 6662, 9013 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 6662, 9013?
Answer: HCF of 6662, 9013 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6662, 9013 using Euclid's Algorithm?
Answer: For arbitrary numbers 6662, 9013 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.