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 9614, 3152, 37063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9614, 3152, 37063 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 9614, 3152, 37063 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 9614, 3152, 37063 is 1.
HCF(9614, 3152, 37063) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9614, 3152, 37063 is 1.
Step 1: Since 9614 > 3152, we apply the division lemma to 9614 and 3152, to get
9614 = 3152 x 3 + 158
Step 2: Since the reminder 3152 ≠ 0, we apply division lemma to 158 and 3152, to get
3152 = 158 x 19 + 150
Step 3: We consider the new divisor 158 and the new remainder 150, and apply the division lemma to get
158 = 150 x 1 + 8
We consider the new divisor 150 and the new remainder 8,and apply the division lemma to get
150 = 8 x 18 + 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 9614 and 3152 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(150,8) = HCF(158,150) = HCF(3152,158) = HCF(9614,3152) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37063 > 2, we apply the division lemma to 37063 and 2, to get
37063 = 2 x 18531 + 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 37063 is 1
Notice that 1 = HCF(2,1) = HCF(37063,2) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9614, 3152, 37063?
Answer: HCF of 9614, 3152, 37063 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9614, 3152, 37063 using Euclid's Algorithm?
Answer: For arbitrary numbers 9614, 3152, 37063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.