Highest Common Factor of 8075, 5330 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 8075, 5330 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8075, 5330 is 5 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 8075, 5330 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 8075, 5330 is 5.
HCF(8075, 5330) = 5
HCF of 8075, 5330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8075, 5330 is 5.
Highest Common Factor of 8075,5330 is 5
Step 1: Since 8075 > 5330, we apply the division lemma to 8075 and 5330, to get
8075 = 5330 x 1 + 2745
Step 2: Since the reminder 5330 ≠ 0, we apply division lemma to 2745 and 5330, to get
5330 = 2745 x 1 + 2585
Step 3: We consider the new divisor 2745 and the new remainder 2585, and apply the division lemma to get
2745 = 2585 x 1 + 160
We consider the new divisor 2585 and the new remainder 160,and apply the division lemma to get
2585 = 160 x 16 + 25
We consider the new divisor 160 and the new remainder 25,and apply the division lemma to get
160 = 25 x 6 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8075 and 5330 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(160,25) = HCF(2585,160) = HCF(2745,2585) = HCF(5330,2745) = HCF(8075,5330) .
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Frequently Asked Questions on HCF of 8075, 5330 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 8075, 5330?
Answer: HCF of 8075, 5330 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8075, 5330 using Euclid's Algorithm?
Answer: For arbitrary numbers 8075, 5330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.