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 1719, 6818 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1719, 6818 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 1719, 6818 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 1719, 6818 is 1.
HCF(1719, 6818) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1719, 6818 is 1.
Step 1: Since 6818 > 1719, we apply the division lemma to 6818 and 1719, to get
6818 = 1719 x 3 + 1661
Step 2: Since the reminder 1719 ≠ 0, we apply division lemma to 1661 and 1719, to get
1719 = 1661 x 1 + 58
Step 3: We consider the new divisor 1661 and the new remainder 58, and apply the division lemma to get
1661 = 58 x 28 + 37
We consider the new divisor 58 and the new remainder 37,and apply the division lemma to get
58 = 37 x 1 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1719 and 6818 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(58,37) = HCF(1661,58) = HCF(1719,1661) = HCF(6818,1719) .
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 1719, 6818?
Answer: HCF of 1719, 6818 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1719, 6818 using Euclid's Algorithm?
Answer: For arbitrary numbers 1719, 6818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.