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 2825, 2023 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2825, 2023 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 2825, 2023 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 2825, 2023 is 1.
HCF(2825, 2023) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2825, 2023 is 1.
Step 1: Since 2825 > 2023, we apply the division lemma to 2825 and 2023, to get
2825 = 2023 x 1 + 802
Step 2: Since the reminder 2023 ≠ 0, we apply division lemma to 802 and 2023, to get
2023 = 802 x 2 + 419
Step 3: We consider the new divisor 802 and the new remainder 419, and apply the division lemma to get
802 = 419 x 1 + 383
We consider the new divisor 419 and the new remainder 383,and apply the division lemma to get
419 = 383 x 1 + 36
We consider the new divisor 383 and the new remainder 36,and apply the division lemma to get
383 = 36 x 10 + 23
We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get
36 = 23 x 1 + 13
We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get
23 = 13 x 1 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2825 and 2023 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(383,36) = HCF(419,383) = HCF(802,419) = HCF(2023,802) = HCF(2825,2023) .
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 2825, 2023?
Answer: HCF of 2825, 2023 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2825, 2023 using Euclid's Algorithm?
Answer: For arbitrary numbers 2825, 2023 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.