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 5608, 8587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5608, 8587 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 5608, 8587 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 5608, 8587 is 1.
HCF(5608, 8587) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5608, 8587 is 1.
Step 1: Since 8587 > 5608, we apply the division lemma to 8587 and 5608, to get
8587 = 5608 x 1 + 2979
Step 2: Since the reminder 5608 ≠ 0, we apply division lemma to 2979 and 5608, to get
5608 = 2979 x 1 + 2629
Step 3: We consider the new divisor 2979 and the new remainder 2629, and apply the division lemma to get
2979 = 2629 x 1 + 350
We consider the new divisor 2629 and the new remainder 350,and apply the division lemma to get
2629 = 350 x 7 + 179
We consider the new divisor 350 and the new remainder 179,and apply the division lemma to get
350 = 179 x 1 + 171
We consider the new divisor 179 and the new remainder 171,and apply the division lemma to get
179 = 171 x 1 + 8
We consider the new divisor 171 and the new remainder 8,and apply the division lemma to get
171 = 8 x 21 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5608 and 8587 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(171,8) = HCF(179,171) = HCF(350,179) = HCF(2629,350) = HCF(2979,2629) = HCF(5608,2979) = HCF(8587,5608) .
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 5608, 8587?
Answer: HCF of 5608, 8587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5608, 8587 using Euclid's Algorithm?
Answer: For arbitrary numbers 5608, 8587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.