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 6226, 5704 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6226, 5704 is 2 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 6226, 5704 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 6226, 5704 is 2.
HCF(6226, 5704) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6226, 5704 is 2.
Step 1: Since 6226 > 5704, we apply the division lemma to 6226 and 5704, to get
6226 = 5704 x 1 + 522
Step 2: Since the reminder 5704 ≠ 0, we apply division lemma to 522 and 5704, to get
5704 = 522 x 10 + 484
Step 3: We consider the new divisor 522 and the new remainder 484, and apply the division lemma to get
522 = 484 x 1 + 38
We consider the new divisor 484 and the new remainder 38,and apply the division lemma to get
484 = 38 x 12 + 28
We consider the new divisor 38 and the new remainder 28,and apply the division lemma to get
38 = 28 x 1 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6226 and 5704 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(38,28) = HCF(484,38) = HCF(522,484) = HCF(5704,522) = HCF(6226,5704) .
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 6226, 5704?
Answer: HCF of 6226, 5704 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6226, 5704 using Euclid's Algorithm?
Answer: For arbitrary numbers 6226, 5704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.