Highest Common Factor of 4254, 9350, 72028 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 4254, 9350, 72028 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4254, 9350, 72028 is 2 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 4254, 9350, 72028 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 4254, 9350, 72028 is 2.
HCF(4254, 9350, 72028) = 2
HCF of 4254, 9350, 72028 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4254, 9350, 72028 is 2.
Highest Common Factor of 4254,9350,72028 is 2
Step 1: Since 9350 > 4254, we apply the division lemma to 9350 and 4254, to get
9350 = 4254 x 2 + 842
Step 2: Since the reminder 4254 ≠ 0, we apply division lemma to 842 and 4254, to get
4254 = 842 x 5 + 44
Step 3: We consider the new divisor 842 and the new remainder 44, and apply the division lemma to get
842 = 44 x 19 + 6
We consider the new divisor 44 and the new remainder 6,and apply the division lemma to get
44 = 6 x 7 + 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 4254 and 9350 is 2
Notice that 2 = HCF(6,2) = HCF(44,6) = HCF(842,44) = HCF(4254,842) = HCF(9350,4254) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72028 > 2, we apply the division lemma to 72028 and 2, to get
72028 = 2 x 36014 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 72028 is 2
Notice that 2 = HCF(72028,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4254, 9350, 72028 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 4254, 9350, 72028?
Answer: HCF of 4254, 9350, 72028 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4254, 9350, 72028 using Euclid's Algorithm?
Answer: For arbitrary numbers 4254, 9350, 72028 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.