Highest Common Factor of 9570, 2983 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 9570, 2983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9570, 2983 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 9570, 2983 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 9570, 2983 is 1.
HCF(9570, 2983) = 1
HCF of 9570, 2983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9570, 2983 is 1.
Highest Common Factor of 9570,2983 is 1
Step 1: Since 9570 > 2983, we apply the division lemma to 9570 and 2983, to get
9570 = 2983 x 3 + 621
Step 2: Since the reminder 2983 ≠ 0, we apply division lemma to 621 and 2983, to get
2983 = 621 x 4 + 499
Step 3: We consider the new divisor 621 and the new remainder 499, and apply the division lemma to get
621 = 499 x 1 + 122
We consider the new divisor 499 and the new remainder 122,and apply the division lemma to get
499 = 122 x 4 + 11
We consider the new divisor 122 and the new remainder 11,and apply the division lemma to get
122 = 11 x 11 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9570 and 2983 is 1
Notice that 1 = HCF(11,1) = HCF(122,11) = HCF(499,122) = HCF(621,499) = HCF(2983,621) = HCF(9570,2983) .
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Frequently Asked Questions on HCF of 9570, 2983 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 9570, 2983?
Answer: HCF of 9570, 2983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9570, 2983 using Euclid's Algorithm?
Answer: For arbitrary numbers 9570, 2983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
