Highest Common Factor of 8157, 5913 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 8157, 5913 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8157, 5913 is 3 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 8157, 5913 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 8157, 5913 is 3.
HCF(8157, 5913) = 3
HCF of 8157, 5913 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8157, 5913 is 3.
Highest Common Factor of 8157,5913 is 3
Step 1: Since 8157 > 5913, we apply the division lemma to 8157 and 5913, to get
8157 = 5913 x 1 + 2244
Step 2: Since the reminder 5913 ≠ 0, we apply division lemma to 2244 and 5913, to get
5913 = 2244 x 2 + 1425
Step 3: We consider the new divisor 2244 and the new remainder 1425, and apply the division lemma to get
2244 = 1425 x 1 + 819
We consider the new divisor 1425 and the new remainder 819,and apply the division lemma to get
1425 = 819 x 1 + 606
We consider the new divisor 819 and the new remainder 606,and apply the division lemma to get
819 = 606 x 1 + 213
We consider the new divisor 606 and the new remainder 213,and apply the division lemma to get
606 = 213 x 2 + 180
We consider the new divisor 213 and the new remainder 180,and apply the division lemma to get
213 = 180 x 1 + 33
We consider the new divisor 180 and the new remainder 33,and apply the division lemma to get
180 = 33 x 5 + 15
We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get
33 = 15 x 2 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8157 and 5913 is 3
Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(180,33) = HCF(213,180) = HCF(606,213) = HCF(819,606) = HCF(1425,819) = HCF(2244,1425) = HCF(5913,2244) = HCF(8157,5913) .
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Frequently Asked Questions on HCF of 8157, 5913 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 8157, 5913?
Answer: HCF of 8157, 5913 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8157, 5913 using Euclid's Algorithm?
Answer: For arbitrary numbers 8157, 5913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.