Highest Common Factor of 2681, 7796 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 2681, 7796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2681, 7796 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 2681, 7796 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 2681, 7796 is 1.
HCF(2681, 7796) = 1
HCF of 2681, 7796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2681, 7796 is 1.
Highest Common Factor of 2681,7796 is 1
Step 1: Since 7796 > 2681, we apply the division lemma to 7796 and 2681, to get
7796 = 2681 x 2 + 2434
Step 2: Since the reminder 2681 ≠ 0, we apply division lemma to 2434 and 2681, to get
2681 = 2434 x 1 + 247
Step 3: We consider the new divisor 2434 and the new remainder 247, and apply the division lemma to get
2434 = 247 x 9 + 211
We consider the new divisor 247 and the new remainder 211,and apply the division lemma to get
247 = 211 x 1 + 36
We consider the new divisor 211 and the new remainder 36,and apply the division lemma to get
211 = 36 x 5 + 31
We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get
36 = 31 x 1 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 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 2681 and 7796 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(211,36) = HCF(247,211) = HCF(2434,247) = HCF(2681,2434) = HCF(7796,2681) .
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Frequently Asked Questions on HCF of 2681, 7796 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 2681, 7796?
Answer: HCF of 2681, 7796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2681, 7796 using Euclid's Algorithm?
Answer: For arbitrary numbers 2681, 7796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.