Highest Common Factor of 6282, 4038 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 6282, 4038 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 6282, 4038 is 6 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 6282, 4038 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 6282, 4038 is 6.
HCF(6282, 4038) = 6
HCF of 6282, 4038 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6282, 4038 is 6.
Highest Common Factor of 6282,4038 is 6
Step 1: Since 6282 > 4038, we apply the division lemma to 6282 and 4038, to get
6282 = 4038 x 1 + 2244
Step 2: Since the reminder 4038 ≠ 0, we apply division lemma to 2244 and 4038, to get
4038 = 2244 x 1 + 1794
Step 3: We consider the new divisor 2244 and the new remainder 1794, and apply the division lemma to get
2244 = 1794 x 1 + 450
We consider the new divisor 1794 and the new remainder 450,and apply the division lemma to get
1794 = 450 x 3 + 444
We consider the new divisor 450 and the new remainder 444,and apply the division lemma to get
450 = 444 x 1 + 6
We consider the new divisor 444 and the new remainder 6,and apply the division lemma to get
444 = 6 x 74 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6282 and 4038 is 6
Notice that 6 = HCF(444,6) = HCF(450,444) = HCF(1794,450) = HCF(2244,1794) = HCF(4038,2244) = HCF(6282,4038) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6282, 4038 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 6282, 4038?
Answer: HCF of 6282, 4038 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6282, 4038 using Euclid's Algorithm?
Answer: For arbitrary numbers 6282, 4038 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.