Highest Common Factor of 5929, 5000 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 5929, 5000 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5929, 5000 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 5929, 5000 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 5929, 5000 is 1.
HCF(5929, 5000) = 1
HCF of 5929, 5000 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5929, 5000 is 1.
Highest Common Factor of 5929,5000 is 1
Step 1: Since 5929 > 5000, we apply the division lemma to 5929 and 5000, to get
5929 = 5000 x 1 + 929
Step 2: Since the reminder 5000 ≠ 0, we apply division lemma to 929 and 5000, to get
5000 = 929 x 5 + 355
Step 3: We consider the new divisor 929 and the new remainder 355, and apply the division lemma to get
929 = 355 x 2 + 219
We consider the new divisor 355 and the new remainder 219,and apply the division lemma to get
355 = 219 x 1 + 136
We consider the new divisor 219 and the new remainder 136,and apply the division lemma to get
219 = 136 x 1 + 83
We consider the new divisor 136 and the new remainder 83,and apply the division lemma to get
136 = 83 x 1 + 53
We consider the new divisor 83 and the new remainder 53,and apply the division lemma to get
83 = 53 x 1 + 30
We consider the new divisor 53 and the new remainder 30,and apply the division lemma to get
53 = 30 x 1 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5929 and 5000 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(53,30) = HCF(83,53) = HCF(136,83) = HCF(219,136) = HCF(355,219) = HCF(929,355) = HCF(5000,929) = HCF(5929,5000) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5929, 5000 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 5929, 5000?
Answer: HCF of 5929, 5000 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5929, 5000 using Euclid's Algorithm?
Answer: For arbitrary numbers 5929, 5000 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.