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 2569, 6987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2569, 6987 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 2569, 6987 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 2569, 6987 is 1.
HCF(2569, 6987) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2569, 6987 is 1.
Step 1: Since 6987 > 2569, we apply the division lemma to 6987 and 2569, to get
6987 = 2569 x 2 + 1849
Step 2: Since the reminder 2569 ≠ 0, we apply division lemma to 1849 and 2569, to get
2569 = 1849 x 1 + 720
Step 3: We consider the new divisor 1849 and the new remainder 720, and apply the division lemma to get
1849 = 720 x 2 + 409
We consider the new divisor 720 and the new remainder 409,and apply the division lemma to get
720 = 409 x 1 + 311
We consider the new divisor 409 and the new remainder 311,and apply the division lemma to get
409 = 311 x 1 + 98
We consider the new divisor 311 and the new remainder 98,and apply the division lemma to get
311 = 98 x 3 + 17
We consider the new divisor 98 and the new remainder 17,and apply the division lemma to get
98 = 17 x 5 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2569 and 6987 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(98,17) = HCF(311,98) = HCF(409,311) = HCF(720,409) = HCF(1849,720) = HCF(2569,1849) = HCF(6987,2569) .
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 2569, 6987?
Answer: HCF of 2569, 6987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2569, 6987 using Euclid's Algorithm?
Answer: For arbitrary numbers 2569, 6987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.