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 8589, 6167 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 8589, 6167 is 7 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 8589, 6167 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 8589, 6167 is 7.
HCF(8589, 6167) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8589, 6167 is 7.
Step 1: Since 8589 > 6167, we apply the division lemma to 8589 and 6167, to get
8589 = 6167 x 1 + 2422
Step 2: Since the reminder 6167 ≠ 0, we apply division lemma to 2422 and 6167, to get
6167 = 2422 x 2 + 1323
Step 3: We consider the new divisor 2422 and the new remainder 1323, and apply the division lemma to get
2422 = 1323 x 1 + 1099
We consider the new divisor 1323 and the new remainder 1099,and apply the division lemma to get
1323 = 1099 x 1 + 224
We consider the new divisor 1099 and the new remainder 224,and apply the division lemma to get
1099 = 224 x 4 + 203
We consider the new divisor 224 and the new remainder 203,and apply the division lemma to get
224 = 203 x 1 + 21
We consider the new divisor 203 and the new remainder 21,and apply the division lemma to get
203 = 21 x 9 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8589 and 6167 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(203,21) = HCF(224,203) = HCF(1099,224) = HCF(1323,1099) = HCF(2422,1323) = HCF(6167,2422) = HCF(8589,6167) .
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 8589, 6167?
Answer: HCF of 8589, 6167 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8589, 6167 using Euclid's Algorithm?
Answer: For arbitrary numbers 8589, 6167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.