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 2382, 2673 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2382, 2673 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 2382, 2673 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 2382, 2673 is 3.
HCF(2382, 2673) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2382, 2673 is 3.
Step 1: Since 2673 > 2382, we apply the division lemma to 2673 and 2382, to get
2673 = 2382 x 1 + 291
Step 2: Since the reminder 2382 ≠ 0, we apply division lemma to 291 and 2382, to get
2382 = 291 x 8 + 54
Step 3: We consider the new divisor 291 and the new remainder 54, and apply the division lemma to get
291 = 54 x 5 + 21
We consider the new divisor 54 and the new remainder 21,and apply the division lemma to get
54 = 21 x 2 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2382 and 2673 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(54,21) = HCF(291,54) = HCF(2382,291) = HCF(2673,2382) .
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 2382, 2673?
Answer: HCF of 2382, 2673 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2382, 2673 using Euclid's Algorithm?
Answer: For arbitrary numbers 2382, 2673 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.