Highest Common Factor of 5356, 8589 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 5356, 8589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5356, 8589 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 5356, 8589 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 5356, 8589 is 1.
HCF(5356, 8589) = 1
HCF of 5356, 8589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5356, 8589 is 1.
Highest Common Factor of 5356,8589 is 1
Step 1: Since 8589 > 5356, we apply the division lemma to 8589 and 5356, to get
8589 = 5356 x 1 + 3233
Step 2: Since the reminder 5356 ≠ 0, we apply division lemma to 3233 and 5356, to get
5356 = 3233 x 1 + 2123
Step 3: We consider the new divisor 3233 and the new remainder 2123, and apply the division lemma to get
3233 = 2123 x 1 + 1110
We consider the new divisor 2123 and the new remainder 1110,and apply the division lemma to get
2123 = 1110 x 1 + 1013
We consider the new divisor 1110 and the new remainder 1013,and apply the division lemma to get
1110 = 1013 x 1 + 97
We consider the new divisor 1013 and the new remainder 97,and apply the division lemma to get
1013 = 97 x 10 + 43
We consider the new divisor 97 and the new remainder 43,and apply the division lemma to get
97 = 43 x 2 + 11
We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get
43 = 11 x 3 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5356 and 8589 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(97,43) = HCF(1013,97) = HCF(1110,1013) = HCF(2123,1110) = HCF(3233,2123) = HCF(5356,3233) = HCF(8589,5356) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5356, 8589 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 5356, 8589?
Answer: HCF of 5356, 8589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5356, 8589 using Euclid's Algorithm?
Answer: For arbitrary numbers 5356, 8589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.