Highest Common Factor of 9162, 3004, 90531 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 9162, 3004, 90531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9162, 3004, 90531 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 9162, 3004, 90531 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 9162, 3004, 90531 is 1.
HCF(9162, 3004, 90531) = 1
HCF of 9162, 3004, 90531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9162, 3004, 90531 is 1.
Highest Common Factor of 9162,3004,90531 is 1
Step 1: Since 9162 > 3004, we apply the division lemma to 9162 and 3004, to get
9162 = 3004 x 3 + 150
Step 2: Since the reminder 3004 ≠ 0, we apply division lemma to 150 and 3004, to get
3004 = 150 x 20 + 4
Step 3: We consider the new divisor 150 and the new remainder 4, and apply the division lemma to get
150 = 4 x 37 + 2
We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9162 and 3004 is 2
Notice that 2 = HCF(4,2) = HCF(150,4) = HCF(3004,150) = HCF(9162,3004) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90531 > 2, we apply the division lemma to 90531 and 2, to get
90531 = 2 x 45265 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 90531 is 1
Notice that 1 = HCF(2,1) = HCF(90531,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9162, 3004, 90531 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 9162, 3004, 90531?
Answer: HCF of 9162, 3004, 90531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9162, 3004, 90531 using Euclid's Algorithm?
Answer: For arbitrary numbers 9162, 3004, 90531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.