Highest Common Factor of 9581, 9777 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 9581, 9777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9581, 9777 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 9581, 9777 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 9581, 9777 is 1.
HCF(9581, 9777) = 1
HCF of 9581, 9777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9581, 9777 is 1.
Highest Common Factor of 9581,9777 is 1
Step 1: Since 9777 > 9581, we apply the division lemma to 9777 and 9581, to get
9777 = 9581 x 1 + 196
Step 2: Since the reminder 9581 ≠ 0, we apply division lemma to 196 and 9581, to get
9581 = 196 x 48 + 173
Step 3: We consider the new divisor 196 and the new remainder 173, and apply the division lemma to get
196 = 173 x 1 + 23
We consider the new divisor 173 and the new remainder 23,and apply the division lemma to get
173 = 23 x 7 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 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 9581 and 9777 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(173,23) = HCF(196,173) = HCF(9581,196) = HCF(9777,9581) .
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Frequently Asked Questions on HCF of 9581, 9777 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 9581, 9777?
Answer: HCF of 9581, 9777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9581, 9777 using Euclid's Algorithm?
Answer: For arbitrary numbers 9581, 9777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.