Highest Common Factor of 5319, 6993 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 5319, 6993 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 5319, 6993 is 27 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 5319, 6993 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 5319, 6993 is 27.
HCF(5319, 6993) = 27
HCF of 5319, 6993 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5319, 6993 is 27.
Highest Common Factor of 5319,6993 is 27
Step 1: Since 6993 > 5319, we apply the division lemma to 6993 and 5319, to get
6993 = 5319 x 1 + 1674
Step 2: Since the reminder 5319 ≠ 0, we apply division lemma to 1674 and 5319, to get
5319 = 1674 x 3 + 297
Step 3: We consider the new divisor 1674 and the new remainder 297, and apply the division lemma to get
1674 = 297 x 5 + 189
We consider the new divisor 297 and the new remainder 189,and apply the division lemma to get
297 = 189 x 1 + 108
We consider the new divisor 189 and the new remainder 108,and apply the division lemma to get
189 = 108 x 1 + 81
We consider the new divisor 108 and the new remainder 81,and apply the division lemma to get
108 = 81 x 1 + 27
We consider the new divisor 81 and the new remainder 27,and apply the division lemma to get
81 = 27 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 5319 and 6993 is 27
Notice that 27 = HCF(81,27) = HCF(108,81) = HCF(189,108) = HCF(297,189) = HCF(1674,297) = HCF(5319,1674) = HCF(6993,5319) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5319, 6993 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 5319, 6993?
Answer: HCF of 5319, 6993 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5319, 6993 using Euclid's Algorithm?
Answer: For arbitrary numbers 5319, 6993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
