Highest Common Factor of 6481, 3199 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 6481, 3199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6481, 3199 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 6481, 3199 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 6481, 3199 is 1.
HCF(6481, 3199) = 1
HCF of 6481, 3199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6481, 3199 is 1.
Highest Common Factor of 6481,3199 is 1
Step 1: Since 6481 > 3199, we apply the division lemma to 6481 and 3199, to get
6481 = 3199 x 2 + 83
Step 2: Since the reminder 3199 ≠ 0, we apply division lemma to 83 and 3199, to get
3199 = 83 x 38 + 45
Step 3: We consider the new divisor 83 and the new remainder 45, and apply the division lemma to get
83 = 45 x 1 + 38
We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get
45 = 38 x 1 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6481 and 3199 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(83,45) = HCF(3199,83) = HCF(6481,3199) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6481, 3199 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 6481, 3199?
Answer: HCF of 6481, 3199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6481, 3199 using Euclid's Algorithm?
Answer: For arbitrary numbers 6481, 3199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.