Highest Common Factor of 2815, 9774 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 2815, 9774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2815, 9774 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 2815, 9774 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 2815, 9774 is 1.
HCF(2815, 9774) = 1
HCF of 2815, 9774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2815, 9774 is 1.
Highest Common Factor of 2815,9774 is 1
Step 1: Since 9774 > 2815, we apply the division lemma to 9774 and 2815, to get
9774 = 2815 x 3 + 1329
Step 2: Since the reminder 2815 ≠ 0, we apply division lemma to 1329 and 2815, to get
2815 = 1329 x 2 + 157
Step 3: We consider the new divisor 1329 and the new remainder 157, and apply the division lemma to get
1329 = 157 x 8 + 73
We consider the new divisor 157 and the new remainder 73,and apply the division lemma to get
157 = 73 x 2 + 11
We consider the new divisor 73 and the new remainder 11,and apply the division lemma to get
73 = 11 x 6 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2815 and 9774 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(73,11) = HCF(157,73) = HCF(1329,157) = HCF(2815,1329) = HCF(9774,2815) .
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Frequently Asked Questions on HCF of 2815, 9774 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 2815, 9774?
Answer: HCF of 2815, 9774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2815, 9774 using Euclid's Algorithm?
Answer: For arbitrary numbers 2815, 9774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.