Highest Common Factor of 9024, 4121 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 9024, 4121 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9024, 4121 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 9024, 4121 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 9024, 4121 is 1.
HCF(9024, 4121) = 1
HCF of 9024, 4121 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9024, 4121 is 1.
Highest Common Factor of 9024,4121 is 1
Step 1: Since 9024 > 4121, we apply the division lemma to 9024 and 4121, to get
9024 = 4121 x 2 + 782
Step 2: Since the reminder 4121 ≠ 0, we apply division lemma to 782 and 4121, to get
4121 = 782 x 5 + 211
Step 3: We consider the new divisor 782 and the new remainder 211, and apply the division lemma to get
782 = 211 x 3 + 149
We consider the new divisor 211 and the new remainder 149,and apply the division lemma to get
211 = 149 x 1 + 62
We consider the new divisor 149 and the new remainder 62,and apply the division lemma to get
149 = 62 x 2 + 25
We consider the new divisor 62 and the new remainder 25,and apply the division lemma to get
62 = 25 x 2 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9024 and 4121 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(62,25) = HCF(149,62) = HCF(211,149) = HCF(782,211) = HCF(4121,782) = HCF(9024,4121) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9024, 4121 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 9024, 4121?
Answer: HCF of 9024, 4121 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9024, 4121 using Euclid's Algorithm?
Answer: For arbitrary numbers 9024, 4121 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.