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 6826, 2519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6826, 2519 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 6826, 2519 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 6826, 2519 is 1.
HCF(6826, 2519) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6826, 2519 is 1.
Step 1: Since 6826 > 2519, we apply the division lemma to 6826 and 2519, to get
6826 = 2519 x 2 + 1788
Step 2: Since the reminder 2519 ≠ 0, we apply division lemma to 1788 and 2519, to get
2519 = 1788 x 1 + 731
Step 3: We consider the new divisor 1788 and the new remainder 731, and apply the division lemma to get
1788 = 731 x 2 + 326
We consider the new divisor 731 and the new remainder 326,and apply the division lemma to get
731 = 326 x 2 + 79
We consider the new divisor 326 and the new remainder 79,and apply the division lemma to get
326 = 79 x 4 + 10
We consider the new divisor 79 and the new remainder 10,and apply the division lemma to get
79 = 10 x 7 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6826 and 2519 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(79,10) = HCF(326,79) = HCF(731,326) = HCF(1788,731) = HCF(2519,1788) = HCF(6826,2519) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6826, 2519?
Answer: HCF of 6826, 2519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6826, 2519 using Euclid's Algorithm?
Answer: For arbitrary numbers 6826, 2519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.