Highest Common Factor of 9043, 3089 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 9043, 3089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9043, 3089 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 9043, 3089 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 9043, 3089 is 1.
HCF(9043, 3089) = 1
HCF of 9043, 3089 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9043, 3089 is 1.
Highest Common Factor of 9043,3089 is 1
Step 1: Since 9043 > 3089, we apply the division lemma to 9043 and 3089, to get
9043 = 3089 x 2 + 2865
Step 2: Since the reminder 3089 ≠ 0, we apply division lemma to 2865 and 3089, to get
3089 = 2865 x 1 + 224
Step 3: We consider the new divisor 2865 and the new remainder 224, and apply the division lemma to get
2865 = 224 x 12 + 177
We consider the new divisor 224 and the new remainder 177,and apply the division lemma to get
224 = 177 x 1 + 47
We consider the new divisor 177 and the new remainder 47,and apply the division lemma to get
177 = 47 x 3 + 36
We consider the new divisor 47 and the new remainder 36,and apply the division lemma to get
47 = 36 x 1 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9043 and 3089 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(47,36) = HCF(177,47) = HCF(224,177) = HCF(2865,224) = HCF(3089,2865) = HCF(9043,3089) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9043, 3089 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 9043, 3089?
Answer: HCF of 9043, 3089 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9043, 3089 using Euclid's Algorithm?
Answer: For arbitrary numbers 9043, 3089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
