Highest Common Factor of 1288, 2411 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 1288, 2411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1288, 2411 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 1288, 2411 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 1288, 2411 is 1.
HCF(1288, 2411) = 1
HCF of 1288, 2411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1288, 2411 is 1.
Highest Common Factor of 1288,2411 is 1
Step 1: Since 2411 > 1288, we apply the division lemma to 2411 and 1288, to get
2411 = 1288 x 1 + 1123
Step 2: Since the reminder 1288 ≠ 0, we apply division lemma to 1123 and 1288, to get
1288 = 1123 x 1 + 165
Step 3: We consider the new divisor 1123 and the new remainder 165, and apply the division lemma to get
1123 = 165 x 6 + 133
We consider the new divisor 165 and the new remainder 133,and apply the division lemma to get
165 = 133 x 1 + 32
We consider the new divisor 133 and the new remainder 32,and apply the division lemma to get
133 = 32 x 4 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1288 and 2411 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(133,32) = HCF(165,133) = HCF(1123,165) = HCF(1288,1123) = HCF(2411,1288) .
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Frequently Asked Questions on HCF of 1288, 2411 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 1288, 2411?
Answer: HCF of 1288, 2411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1288, 2411 using Euclid's Algorithm?
Answer: For arbitrary numbers 1288, 2411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
