Highest Common Factor of 6380, 3031 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 6380, 3031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6380, 3031 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 6380, 3031 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 6380, 3031 is 1.
HCF(6380, 3031) = 1
HCF of 6380, 3031 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6380, 3031 is 1.
Highest Common Factor of 6380,3031 is 1
Step 1: Since 6380 > 3031, we apply the division lemma to 6380 and 3031, to get
6380 = 3031 x 2 + 318
Step 2: Since the reminder 3031 ≠ 0, we apply division lemma to 318 and 3031, to get
3031 = 318 x 9 + 169
Step 3: We consider the new divisor 318 and the new remainder 169, and apply the division lemma to get
318 = 169 x 1 + 149
We consider the new divisor 169 and the new remainder 149,and apply the division lemma to get
169 = 149 x 1 + 20
We consider the new divisor 149 and the new remainder 20,and apply the division lemma to get
149 = 20 x 7 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6380 and 3031 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(149,20) = HCF(169,149) = HCF(318,169) = HCF(3031,318) = HCF(6380,3031) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6380, 3031 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 6380, 3031?
Answer: HCF of 6380, 3031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6380, 3031 using Euclid's Algorithm?
Answer: For arbitrary numbers 6380, 3031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.