Highest Common Factor of 9580, 285 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 9580, 285 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9580, 285 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 9580, 285 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 9580, 285 is 5.
HCF(9580, 285) = 5
HCF of 9580, 285 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9580, 285 is 5.
Highest Common Factor of 9580,285 is 5
Step 1: Since 9580 > 285, we apply the division lemma to 9580 and 285, to get
9580 = 285 x 33 + 175
Step 2: Since the reminder 285 ≠ 0, we apply division lemma to 175 and 285, to get
285 = 175 x 1 + 110
Step 3: We consider the new divisor 175 and the new remainder 110, and apply the division lemma to get
175 = 110 x 1 + 65
We consider the new divisor 110 and the new remainder 65,and apply the division lemma to get
110 = 65 x 1 + 45
We consider the new divisor 65 and the new remainder 45,and apply the division lemma to get
65 = 45 x 1 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9580 and 285 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(65,45) = HCF(110,65) = HCF(175,110) = HCF(285,175) = HCF(9580,285) .
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Frequently Asked Questions on HCF of 9580, 285 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 9580, 285?
Answer: HCF of 9580, 285 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9580, 285 using Euclid's Algorithm?
Answer: For arbitrary numbers 9580, 285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.