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 159, 9131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 159, 9131 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 159, 9131 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 159, 9131 is 1.
HCF(159, 9131) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 159, 9131 is 1.
Step 1: Since 9131 > 159, we apply the division lemma to 9131 and 159, to get
9131 = 159 x 57 + 68
Step 2: Since the reminder 159 ≠ 0, we apply division lemma to 68 and 159, to get
159 = 68 x 2 + 23
Step 3: We consider the new divisor 68 and the new remainder 23, and apply the division lemma to get
68 = 23 x 2 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 159 and 9131 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(159,68) = HCF(9131,159) .
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 159, 9131?
Answer: HCF of 159, 9131 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 159, 9131 using Euclid's Algorithm?
Answer: For arbitrary numbers 159, 9131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.