Highest Common Factor of 587, 97215 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 587, 97215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 97215 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 587, 97215 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 587, 97215 is 1.
HCF(587, 97215) = 1
HCF of 587, 97215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 97215 is 1.
Highest Common Factor of 587,97215 is 1
Step 1: Since 97215 > 587, we apply the division lemma to 97215 and 587, to get
97215 = 587 x 165 + 360
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 360 and 587, to get
587 = 360 x 1 + 227
Step 3: We consider the new divisor 360 and the new remainder 227, and apply the division lemma to get
360 = 227 x 1 + 133
We consider the new divisor 227 and the new remainder 133,and apply the division lemma to get
227 = 133 x 1 + 94
We consider the new divisor 133 and the new remainder 94,and apply the division lemma to get
133 = 94 x 1 + 39
We consider the new divisor 94 and the new remainder 39,and apply the division lemma to get
94 = 39 x 2 + 16
We consider the new divisor 39 and the new remainder 16,and apply the division lemma to get
39 = 16 x 2 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 587 and 97215 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(39,16) = HCF(94,39) = HCF(133,94) = HCF(227,133) = HCF(360,227) = HCF(587,360) = HCF(97215,587) .
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Frequently Asked Questions on HCF of 587, 97215 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 587, 97215?
Answer: HCF of 587, 97215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 97215 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 97215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.