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 6496, 2099 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6496, 2099 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 6496, 2099 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 6496, 2099 is 1.
HCF(6496, 2099) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6496, 2099 is 1.
Step 1: Since 6496 > 2099, we apply the division lemma to 6496 and 2099, to get
6496 = 2099 x 3 + 199
Step 2: Since the reminder 2099 ≠ 0, we apply division lemma to 199 and 2099, to get
2099 = 199 x 10 + 109
Step 3: We consider the new divisor 199 and the new remainder 109, and apply the division lemma to get
199 = 109 x 1 + 90
We consider the new divisor 109 and the new remainder 90,and apply the division lemma to get
109 = 90 x 1 + 19
We consider the new divisor 90 and the new remainder 19,and apply the division lemma to get
90 = 19 x 4 + 14
We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 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 6496 and 2099 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(90,19) = HCF(109,90) = HCF(199,109) = HCF(2099,199) = HCF(6496,2099) .
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 6496, 2099?
Answer: HCF of 6496, 2099 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6496, 2099 using Euclid's Algorithm?
Answer: For arbitrary numbers 6496, 2099 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.