Highest Common Factor of 2793, 9710 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 2793, 9710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2793, 9710 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 2793, 9710 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 2793, 9710 is 1.
HCF(2793, 9710) = 1
HCF of 2793, 9710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2793, 9710 is 1.
Highest Common Factor of 2793,9710 is 1
Step 1: Since 9710 > 2793, we apply the division lemma to 9710 and 2793, to get
9710 = 2793 x 3 + 1331
Step 2: Since the reminder 2793 ≠ 0, we apply division lemma to 1331 and 2793, to get
2793 = 1331 x 2 + 131
Step 3: We consider the new divisor 1331 and the new remainder 131, and apply the division lemma to get
1331 = 131 x 10 + 21
We consider the new divisor 131 and the new remainder 21,and apply the division lemma to get
131 = 21 x 6 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2793 and 9710 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(131,21) = HCF(1331,131) = HCF(2793,1331) = HCF(9710,2793) .
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Frequently Asked Questions on HCF of 2793, 9710 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 2793, 9710?
Answer: HCF of 2793, 9710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2793, 9710 using Euclid's Algorithm?
Answer: For arbitrary numbers 2793, 9710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.