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, 8696, 11592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2677, 8696, 11592 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, 8696, 11592 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, 8696, 11592 is 1.
HCF(2677, 8696, 11592) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2677, 8696, 11592 is 1.
Step 1: Since 8696 > 2677, we apply the division lemma to 8696 and 2677, to get
8696 = 2677 x 3 + 665
Step 2: Since the reminder 2677 ≠ 0, we apply division lemma to 665 and 2677, to get
2677 = 665 x 4 + 17
Step 3: We consider the new divisor 665 and the new remainder 17, and apply the division lemma to get
665 = 17 x 39 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 2677 and 8696 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(665,17) = HCF(2677,665) = HCF(8696,2677) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11592 > 1, we apply the division lemma to 11592 and 1, to get
11592 = 1 x 11592 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11592 is 1
Notice that 1 = HCF(11592,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 8696, 11592?
Answer: HCF of 2677, 8696, 11592 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2677, 8696, 11592 using Euclid's Algorithm?
Answer: For arbitrary numbers 2677, 8696, 11592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.