Highest Common Factor of 5152, 6029 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 5152, 6029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5152, 6029 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 5152, 6029 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 5152, 6029 is 1.
HCF(5152, 6029) = 1
HCF of 5152, 6029 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5152, 6029 is 1.
Highest Common Factor of 5152,6029 is 1
Step 1: Since 6029 > 5152, we apply the division lemma to 6029 and 5152, to get
6029 = 5152 x 1 + 877
Step 2: Since the reminder 5152 ≠ 0, we apply division lemma to 877 and 5152, to get
5152 = 877 x 5 + 767
Step 3: We consider the new divisor 877 and the new remainder 767, and apply the division lemma to get
877 = 767 x 1 + 110
We consider the new divisor 767 and the new remainder 110,and apply the division lemma to get
767 = 110 x 6 + 107
We consider the new divisor 110 and the new remainder 107,and apply the division lemma to get
110 = 107 x 1 + 3
We consider the new divisor 107 and the new remainder 3,and apply the division lemma to get
107 = 3 x 35 + 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 5152 and 6029 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(107,3) = HCF(110,107) = HCF(767,110) = HCF(877,767) = HCF(5152,877) = HCF(6029,5152) .
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Frequently Asked Questions on HCF of 5152, 6029 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 5152, 6029?
Answer: HCF of 5152, 6029 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5152, 6029 using Euclid's Algorithm?
Answer: For arbitrary numbers 5152, 6029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.