Highest Common Factor of 2517, 9363 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 2517, 9363 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2517, 9363 is 3 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 2517, 9363 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 2517, 9363 is 3.
HCF(2517, 9363) = 3
HCF of 2517, 9363 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2517, 9363 is 3.
Highest Common Factor of 2517,9363 is 3
Step 1: Since 9363 > 2517, we apply the division lemma to 9363 and 2517, to get
9363 = 2517 x 3 + 1812
Step 2: Since the reminder 2517 ≠ 0, we apply division lemma to 1812 and 2517, to get
2517 = 1812 x 1 + 705
Step 3: We consider the new divisor 1812 and the new remainder 705, and apply the division lemma to get
1812 = 705 x 2 + 402
We consider the new divisor 705 and the new remainder 402,and apply the division lemma to get
705 = 402 x 1 + 303
We consider the new divisor 402 and the new remainder 303,and apply the division lemma to get
402 = 303 x 1 + 99
We consider the new divisor 303 and the new remainder 99,and apply the division lemma to get
303 = 99 x 3 + 6
We consider the new divisor 99 and the new remainder 6,and apply the division lemma to get
99 = 6 x 16 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2517 and 9363 is 3
Notice that 3 = HCF(6,3) = HCF(99,6) = HCF(303,99) = HCF(402,303) = HCF(705,402) = HCF(1812,705) = HCF(2517,1812) = HCF(9363,2517) .
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Frequently Asked Questions on HCF of 2517, 9363 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 2517, 9363?
Answer: HCF of 2517, 9363 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2517, 9363 using Euclid's Algorithm?
Answer: For arbitrary numbers 2517, 9363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.