Highest Common Factor of 514, 2796 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 514, 2796 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 514, 2796 is 2 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 514, 2796 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 514, 2796 is 2.
HCF(514, 2796) = 2
HCF of 514, 2796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 514, 2796 is 2.
Highest Common Factor of 514,2796 is 2
Step 1: Since 2796 > 514, we apply the division lemma to 2796 and 514, to get
2796 = 514 x 5 + 226
Step 2: Since the reminder 514 ≠ 0, we apply division lemma to 226 and 514, to get
514 = 226 x 2 + 62
Step 3: We consider the new divisor 226 and the new remainder 62, and apply the division lemma to get
226 = 62 x 3 + 40
We consider the new divisor 62 and the new remainder 40,and apply the division lemma to get
62 = 40 x 1 + 22
We consider the new divisor 40 and the new remainder 22,and apply the division lemma to get
40 = 22 x 1 + 18
We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get
22 = 18 x 1 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 514 and 2796 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(40,22) = HCF(62,40) = HCF(226,62) = HCF(514,226) = HCF(2796,514) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 514, 2796 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 514, 2796?
Answer: HCF of 514, 2796 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 514, 2796 using Euclid's Algorithm?
Answer: For arbitrary numbers 514, 2796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.