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 4365, 2031 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4365, 2031 is 3 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 4365, 2031 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 4365, 2031 is 3.
HCF(4365, 2031) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4365, 2031 is 3.
Step 1: Since 4365 > 2031, we apply the division lemma to 4365 and 2031, to get
4365 = 2031 x 2 + 303
Step 2: Since the reminder 2031 ≠ 0, we apply division lemma to 303 and 2031, to get
2031 = 303 x 6 + 213
Step 3: We consider the new divisor 303 and the new remainder 213, and apply the division lemma to get
303 = 213 x 1 + 90
We consider the new divisor 213 and the new remainder 90,and apply the division lemma to get
213 = 90 x 2 + 33
We consider the new divisor 90 and the new remainder 33,and apply the division lemma to get
90 = 33 x 2 + 24
We consider the new divisor 33 and the new remainder 24,and apply the division lemma to get
33 = 24 x 1 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4365 and 2031 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(33,24) = HCF(90,33) = HCF(213,90) = HCF(303,213) = HCF(2031,303) = HCF(4365,2031) .
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 4365, 2031?
Answer: HCF of 4365, 2031 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4365, 2031 using Euclid's Algorithm?
Answer: For arbitrary numbers 4365, 2031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.