Highest Common Factor of 9331, 2572 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 9331, 2572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9331, 2572 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 9331, 2572 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 9331, 2572 is 1.
HCF(9331, 2572) = 1
HCF of 9331, 2572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9331, 2572 is 1.
Highest Common Factor of 9331,2572 is 1
Step 1: Since 9331 > 2572, we apply the division lemma to 9331 and 2572, to get
9331 = 2572 x 3 + 1615
Step 2: Since the reminder 2572 ≠ 0, we apply division lemma to 1615 and 2572, to get
2572 = 1615 x 1 + 957
Step 3: We consider the new divisor 1615 and the new remainder 957, and apply the division lemma to get
1615 = 957 x 1 + 658
We consider the new divisor 957 and the new remainder 658,and apply the division lemma to get
957 = 658 x 1 + 299
We consider the new divisor 658 and the new remainder 299,and apply the division lemma to get
658 = 299 x 2 + 60
We consider the new divisor 299 and the new remainder 60,and apply the division lemma to get
299 = 60 x 4 + 59
We consider the new divisor 60 and the new remainder 59,and apply the division lemma to get
60 = 59 x 1 + 1
We consider the new divisor 59 and the new remainder 1,and apply the division lemma to get
59 = 1 x 59 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9331 and 2572 is 1
Notice that 1 = HCF(59,1) = HCF(60,59) = HCF(299,60) = HCF(658,299) = HCF(957,658) = HCF(1615,957) = HCF(2572,1615) = HCF(9331,2572) .
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Frequently Asked Questions on HCF of 9331, 2572 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 9331, 2572?
Answer: HCF of 9331, 2572 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9331, 2572 using Euclid's Algorithm?
Answer: For arbitrary numbers 9331, 2572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
