Highest Common Factor of 3032, 4763, 14198 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 3032, 4763, 14198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3032, 4763, 14198 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 3032, 4763, 14198 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 3032, 4763, 14198 is 1.
HCF(3032, 4763, 14198) = 1
HCF of 3032, 4763, 14198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3032, 4763, 14198 is 1.
Highest Common Factor of 3032,4763,14198 is 1
Step 1: Since 4763 > 3032, we apply the division lemma to 4763 and 3032, to get
4763 = 3032 x 1 + 1731
Step 2: Since the reminder 3032 ≠ 0, we apply division lemma to 1731 and 3032, to get
3032 = 1731 x 1 + 1301
Step 3: We consider the new divisor 1731 and the new remainder 1301, and apply the division lemma to get
1731 = 1301 x 1 + 430
We consider the new divisor 1301 and the new remainder 430,and apply the division lemma to get
1301 = 430 x 3 + 11
We consider the new divisor 430 and the new remainder 11,and apply the division lemma to get
430 = 11 x 39 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3032 and 4763 is 1
Notice that 1 = HCF(11,1) = HCF(430,11) = HCF(1301,430) = HCF(1731,1301) = HCF(3032,1731) = HCF(4763,3032) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 14198 > 1, we apply the division lemma to 14198 and 1, to get
14198 = 1 x 14198 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14198 is 1
Notice that 1 = HCF(14198,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3032, 4763, 14198 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 3032, 4763, 14198?
Answer: HCF of 3032, 4763, 14198 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3032, 4763, 14198 using Euclid's Algorithm?
Answer: For arbitrary numbers 3032, 4763, 14198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.