Highest Common Factor of 9228, 4995 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 9228, 4995 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9228, 4995 is 3 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 9228, 4995 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 9228, 4995 is 3.
HCF(9228, 4995) = 3
HCF of 9228, 4995 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9228, 4995 is 3.
Highest Common Factor of 9228,4995 is 3
Step 1: Since 9228 > 4995, we apply the division lemma to 9228 and 4995, to get
9228 = 4995 x 1 + 4233
Step 2: Since the reminder 4995 ≠ 0, we apply division lemma to 4233 and 4995, to get
4995 = 4233 x 1 + 762
Step 3: We consider the new divisor 4233 and the new remainder 762, and apply the division lemma to get
4233 = 762 x 5 + 423
We consider the new divisor 762 and the new remainder 423,and apply the division lemma to get
762 = 423 x 1 + 339
We consider the new divisor 423 and the new remainder 339,and apply the division lemma to get
423 = 339 x 1 + 84
We consider the new divisor 339 and the new remainder 84,and apply the division lemma to get
339 = 84 x 4 + 3
We consider the new divisor 84 and the new remainder 3,and apply the division lemma to get
84 = 3 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9228 and 4995 is 3
Notice that 3 = HCF(84,3) = HCF(339,84) = HCF(423,339) = HCF(762,423) = HCF(4233,762) = HCF(4995,4233) = HCF(9228,4995) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9228, 4995 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 9228, 4995?
Answer: HCF of 9228, 4995 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9228, 4995 using Euclid's Algorithm?
Answer: For arbitrary numbers 9228, 4995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.