Highest Common Factor of 2677, 9936 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 2677, 9936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2677, 9936 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 2677, 9936 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 2677, 9936 is 1.
HCF(2677, 9936) = 1
HCF of 2677, 9936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2677, 9936 is 1.
Highest Common Factor of 2677,9936 is 1
Step 1: Since 9936 > 2677, we apply the division lemma to 9936 and 2677, to get
9936 = 2677 x 3 + 1905
Step 2: Since the reminder 2677 ≠ 0, we apply division lemma to 1905 and 2677, to get
2677 = 1905 x 1 + 772
Step 3: We consider the new divisor 1905 and the new remainder 772, and apply the division lemma to get
1905 = 772 x 2 + 361
We consider the new divisor 772 and the new remainder 361,and apply the division lemma to get
772 = 361 x 2 + 50
We consider the new divisor 361 and the new remainder 50,and apply the division lemma to get
361 = 50 x 7 + 11
We consider the new divisor 50 and the new remainder 11,and apply the division lemma to get
50 = 11 x 4 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 2677 and 9936 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(361,50) = HCF(772,361) = HCF(1905,772) = HCF(2677,1905) = HCF(9936,2677) .
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Frequently Asked Questions on HCF of 2677, 9936 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 2677, 9936?
Answer: HCF of 2677, 9936 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2677, 9936 using Euclid's Algorithm?
Answer: For arbitrary numbers 2677, 9936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.