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 4610, 4137, 10623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4610, 4137, 10623 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 4610, 4137, 10623 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 4610, 4137, 10623 is 1.
HCF(4610, 4137, 10623) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4610, 4137, 10623 is 1.
Step 1: Since 4610 > 4137, we apply the division lemma to 4610 and 4137, to get
4610 = 4137 x 1 + 473
Step 2: Since the reminder 4137 ≠ 0, we apply division lemma to 473 and 4137, to get
4137 = 473 x 8 + 353
Step 3: We consider the new divisor 473 and the new remainder 353, and apply the division lemma to get
473 = 353 x 1 + 120
We consider the new divisor 353 and the new remainder 120,and apply the division lemma to get
353 = 120 x 2 + 113
We consider the new divisor 120 and the new remainder 113,and apply the division lemma to get
120 = 113 x 1 + 7
We consider the new divisor 113 and the new remainder 7,and apply the division lemma to get
113 = 7 x 16 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4610 and 4137 is 1
Notice that 1 = HCF(7,1) = HCF(113,7) = HCF(120,113) = HCF(353,120) = HCF(473,353) = HCF(4137,473) = HCF(4610,4137) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10623 > 1, we apply the division lemma to 10623 and 1, to get
10623 = 1 x 10623 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10623 is 1
Notice that 1 = HCF(10623,1) .
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 4610, 4137, 10623?
Answer: HCF of 4610, 4137, 10623 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4610, 4137, 10623 using Euclid's Algorithm?
Answer: For arbitrary numbers 4610, 4137, 10623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.