Highest Common Factor of 9613, 3110 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 9613, 3110 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9613, 3110 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 9613, 3110 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 9613, 3110 is 1.
HCF(9613, 3110) = 1
HCF of 9613, 3110 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9613, 3110 is 1.
Highest Common Factor of 9613,3110 is 1
Step 1: Since 9613 > 3110, we apply the division lemma to 9613 and 3110, to get
9613 = 3110 x 3 + 283
Step 2: Since the reminder 3110 ≠ 0, we apply division lemma to 283 and 3110, to get
3110 = 283 x 10 + 280
Step 3: We consider the new divisor 283 and the new remainder 280, and apply the division lemma to get
283 = 280 x 1 + 3
We consider the new divisor 280 and the new remainder 3,and apply the division lemma to get
280 = 3 x 93 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9613 and 3110 is 1
Notice that 1 = HCF(3,1) = HCF(280,3) = HCF(283,280) = HCF(3110,283) = HCF(9613,3110) .
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Frequently Asked Questions on HCF of 9613, 3110 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 9613, 3110?
Answer: HCF of 9613, 3110 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9613, 3110 using Euclid's Algorithm?
Answer: For arbitrary numbers 9613, 3110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.