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 1211, 2689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1211, 2689 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 1211, 2689 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 1211, 2689 is 1.
HCF(1211, 2689) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1211, 2689 is 1.
Step 1: Since 2689 > 1211, we apply the division lemma to 2689 and 1211, to get
2689 = 1211 x 2 + 267
Step 2: Since the reminder 1211 ≠ 0, we apply division lemma to 267 and 1211, to get
1211 = 267 x 4 + 143
Step 3: We consider the new divisor 267 and the new remainder 143, and apply the division lemma to get
267 = 143 x 1 + 124
We consider the new divisor 143 and the new remainder 124,and apply the division lemma to get
143 = 124 x 1 + 19
We consider the new divisor 124 and the new remainder 19,and apply the division lemma to get
124 = 19 x 6 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1211 and 2689 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(124,19) = HCF(143,124) = HCF(267,143) = HCF(1211,267) = HCF(2689,1211) .
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 1211, 2689?
Answer: HCF of 1211, 2689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1211, 2689 using Euclid's Algorithm?
Answer: For arbitrary numbers 1211, 2689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.