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 1309, 2587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1309, 2587 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 1309, 2587 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 1309, 2587 is 1.
HCF(1309, 2587) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1309, 2587 is 1.
Step 1: Since 2587 > 1309, we apply the division lemma to 2587 and 1309, to get
2587 = 1309 x 1 + 1278
Step 2: Since the reminder 1309 ≠ 0, we apply division lemma to 1278 and 1309, to get
1309 = 1278 x 1 + 31
Step 3: We consider the new divisor 1278 and the new remainder 31, and apply the division lemma to get
1278 = 31 x 41 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1309 and 2587 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(1278,31) = HCF(1309,1278) = HCF(2587,1309) .
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 1309, 2587?
Answer: HCF of 1309, 2587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1309, 2587 using Euclid's Algorithm?
Answer: For arbitrary numbers 1309, 2587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.