Highest Common Factor of 2022, 4124 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 2022, 4124 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2022, 4124 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 2022, 4124 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 2022, 4124 is 2.
HCF(2022, 4124) = 2
HCF of 2022, 4124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2022, 4124 is 2.
Highest Common Factor of 2022,4124 is 2
Step 1: Since 4124 > 2022, we apply the division lemma to 4124 and 2022, to get
4124 = 2022 x 2 + 80
Step 2: Since the reminder 2022 ≠ 0, we apply division lemma to 80 and 2022, to get
2022 = 80 x 25 + 22
Step 3: We consider the new divisor 80 and the new remainder 22, and apply the division lemma to get
80 = 22 x 3 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2022 and 4124 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(80,22) = HCF(2022,80) = HCF(4124,2022) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2022, 4124 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 2022, 4124?
Answer: HCF of 2022, 4124 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2022, 4124 using Euclid's Algorithm?
Answer: For arbitrary numbers 2022, 4124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.