Highest Common Factor of 5197, 6024 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 5197, 6024 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5197, 6024 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 5197, 6024 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 5197, 6024 is 1.
HCF(5197, 6024) = 1
HCF of 5197, 6024 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5197, 6024 is 1.
Highest Common Factor of 5197,6024 is 1
Step 1: Since 6024 > 5197, we apply the division lemma to 6024 and 5197, to get
6024 = 5197 x 1 + 827
Step 2: Since the reminder 5197 ≠ 0, we apply division lemma to 827 and 5197, to get
5197 = 827 x 6 + 235
Step 3: We consider the new divisor 827 and the new remainder 235, and apply the division lemma to get
827 = 235 x 3 + 122
We consider the new divisor 235 and the new remainder 122,and apply the division lemma to get
235 = 122 x 1 + 113
We consider the new divisor 122 and the new remainder 113,and apply the division lemma to get
122 = 113 x 1 + 9
We consider the new divisor 113 and the new remainder 9,and apply the division lemma to get
113 = 9 x 12 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5197 and 6024 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(113,9) = HCF(122,113) = HCF(235,122) = HCF(827,235) = HCF(5197,827) = HCF(6024,5197) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5197, 6024 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 5197, 6024?
Answer: HCF of 5197, 6024 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5197, 6024 using Euclid's Algorithm?
Answer: For arbitrary numbers 5197, 6024 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
