Highest Common Factor of 8630, 4965, 90427 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 8630, 4965, 90427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8630, 4965, 90427 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 8630, 4965, 90427 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 8630, 4965, 90427 is 1.
HCF(8630, 4965, 90427) = 1
HCF of 8630, 4965, 90427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8630, 4965, 90427 is 1.
Highest Common Factor of 8630,4965,90427 is 1
Step 1: Since 8630 > 4965, we apply the division lemma to 8630 and 4965, to get
8630 = 4965 x 1 + 3665
Step 2: Since the reminder 4965 ≠ 0, we apply division lemma to 3665 and 4965, to get
4965 = 3665 x 1 + 1300
Step 3: We consider the new divisor 3665 and the new remainder 1300, and apply the division lemma to get
3665 = 1300 x 2 + 1065
We consider the new divisor 1300 and the new remainder 1065,and apply the division lemma to get
1300 = 1065 x 1 + 235
We consider the new divisor 1065 and the new remainder 235,and apply the division lemma to get
1065 = 235 x 4 + 125
We consider the new divisor 235 and the new remainder 125,and apply the division lemma to get
235 = 125 x 1 + 110
We consider the new divisor 125 and the new remainder 110,and apply the division lemma to get
125 = 110 x 1 + 15
We consider the new divisor 110 and the new remainder 15,and apply the division lemma to get
110 = 15 x 7 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8630 and 4965 is 5
Notice that 5 = HCF(15,5) = HCF(110,15) = HCF(125,110) = HCF(235,125) = HCF(1065,235) = HCF(1300,1065) = HCF(3665,1300) = HCF(4965,3665) = HCF(8630,4965) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90427 > 5, we apply the division lemma to 90427 and 5, to get
90427 = 5 x 18085 + 2
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get
5 = 2 x 2 + 1
Step 3: 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 5 and 90427 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(90427,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8630, 4965, 90427 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 8630, 4965, 90427?
Answer: HCF of 8630, 4965, 90427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8630, 4965, 90427 using Euclid's Algorithm?
Answer: For arbitrary numbers 8630, 4965, 90427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.