Highest Common Factor of 5035, 6639 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 5035, 6639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5035, 6639 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 5035, 6639 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 5035, 6639 is 1.
HCF(5035, 6639) = 1
HCF of 5035, 6639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5035, 6639 is 1.
Highest Common Factor of 5035,6639 is 1
Step 1: Since 6639 > 5035, we apply the division lemma to 6639 and 5035, to get
6639 = 5035 x 1 + 1604
Step 2: Since the reminder 5035 ≠ 0, we apply division lemma to 1604 and 5035, to get
5035 = 1604 x 3 + 223
Step 3: We consider the new divisor 1604 and the new remainder 223, and apply the division lemma to get
1604 = 223 x 7 + 43
We consider the new divisor 223 and the new remainder 43,and apply the division lemma to get
223 = 43 x 5 + 8
We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get
43 = 8 x 5 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5035 and 6639 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(223,43) = HCF(1604,223) = HCF(5035,1604) = HCF(6639,5035) .
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Frequently Asked Questions on HCF of 5035, 6639 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 5035, 6639?
Answer: HCF of 5035, 6639 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5035, 6639 using Euclid's Algorithm?
Answer: For arbitrary numbers 5035, 6639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.