Highest Common Factor of 8575, 6062 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 8575, 6062 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8575, 6062 is 7 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 8575, 6062 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 8575, 6062 is 7.
HCF(8575, 6062) = 7
HCF of 8575, 6062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8575, 6062 is 7.
Highest Common Factor of 8575,6062 is 7
Step 1: Since 8575 > 6062, we apply the division lemma to 8575 and 6062, to get
8575 = 6062 x 1 + 2513
Step 2: Since the reminder 6062 ≠ 0, we apply division lemma to 2513 and 6062, to get
6062 = 2513 x 2 + 1036
Step 3: We consider the new divisor 2513 and the new remainder 1036, and apply the division lemma to get
2513 = 1036 x 2 + 441
We consider the new divisor 1036 and the new remainder 441,and apply the division lemma to get
1036 = 441 x 2 + 154
We consider the new divisor 441 and the new remainder 154,and apply the division lemma to get
441 = 154 x 2 + 133
We consider the new divisor 154 and the new remainder 133,and apply the division lemma to get
154 = 133 x 1 + 21
We consider the new divisor 133 and the new remainder 21,and apply the division lemma to get
133 = 21 x 6 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8575 and 6062 is 7
Notice that 7 = HCF(21,7) = HCF(133,21) = HCF(154,133) = HCF(441,154) = HCF(1036,441) = HCF(2513,1036) = HCF(6062,2513) = HCF(8575,6062) .
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Frequently Asked Questions on HCF of 8575, 6062 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 8575, 6062?
Answer: HCF of 8575, 6062 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8575, 6062 using Euclid's Algorithm?
Answer: For arbitrary numbers 8575, 6062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.