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 6227, 9962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6227, 9962 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 6227, 9962 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 6227, 9962 is 1.
HCF(6227, 9962) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6227, 9962 is 1.
Step 1: Since 9962 > 6227, we apply the division lemma to 9962 and 6227, to get
9962 = 6227 x 1 + 3735
Step 2: Since the reminder 6227 ≠ 0, we apply division lemma to 3735 and 6227, to get
6227 = 3735 x 1 + 2492
Step 3: We consider the new divisor 3735 and the new remainder 2492, and apply the division lemma to get
3735 = 2492 x 1 + 1243
We consider the new divisor 2492 and the new remainder 1243,and apply the division lemma to get
2492 = 1243 x 2 + 6
We consider the new divisor 1243 and the new remainder 6,and apply the division lemma to get
1243 = 6 x 207 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6227 and 9962 is 1
Notice that 1 = HCF(6,1) = HCF(1243,6) = HCF(2492,1243) = HCF(3735,2492) = HCF(6227,3735) = HCF(9962,6227) .
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 6227, 9962?
Answer: HCF of 6227, 9962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6227, 9962 using Euclid's Algorithm?
Answer: For arbitrary numbers 6227, 9962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.