Highest Common Factor of 2960, 8081 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 2960, 8081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2960, 8081 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 2960, 8081 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 2960, 8081 is 1.
HCF(2960, 8081) = 1
HCF of 2960, 8081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2960, 8081 is 1.
Highest Common Factor of 2960,8081 is 1
Step 1: Since 8081 > 2960, we apply the division lemma to 8081 and 2960, to get
8081 = 2960 x 2 + 2161
Step 2: Since the reminder 2960 ≠ 0, we apply division lemma to 2161 and 2960, to get
2960 = 2161 x 1 + 799
Step 3: We consider the new divisor 2161 and the new remainder 799, and apply the division lemma to get
2161 = 799 x 2 + 563
We consider the new divisor 799 and the new remainder 563,and apply the division lemma to get
799 = 563 x 1 + 236
We consider the new divisor 563 and the new remainder 236,and apply the division lemma to get
563 = 236 x 2 + 91
We consider the new divisor 236 and the new remainder 91,and apply the division lemma to get
236 = 91 x 2 + 54
We consider the new divisor 91 and the new remainder 54,and apply the division lemma to get
91 = 54 x 1 + 37
We consider the new divisor 54 and the new remainder 37,and apply the division lemma to get
54 = 37 x 1 + 17
We consider the new divisor 37 and the new remainder 17,and apply the division lemma to get
37 = 17 x 2 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2960 and 8081 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(37,17) = HCF(54,37) = HCF(91,54) = HCF(236,91) = HCF(563,236) = HCF(799,563) = HCF(2161,799) = HCF(2960,2161) = HCF(8081,2960) .
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Frequently Asked Questions on HCF of 2960, 8081 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 2960, 8081?
Answer: HCF of 2960, 8081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2960, 8081 using Euclid's Algorithm?
Answer: For arbitrary numbers 2960, 8081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
