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 2253, 1625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2253, 1625 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 2253, 1625 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 2253, 1625 is 1.
HCF(2253, 1625) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2253, 1625 is 1.
Step 1: Since 2253 > 1625, we apply the division lemma to 2253 and 1625, to get
2253 = 1625 x 1 + 628
Step 2: Since the reminder 1625 ≠ 0, we apply division lemma to 628 and 1625, to get
1625 = 628 x 2 + 369
Step 3: We consider the new divisor 628 and the new remainder 369, and apply the division lemma to get
628 = 369 x 1 + 259
We consider the new divisor 369 and the new remainder 259,and apply the division lemma to get
369 = 259 x 1 + 110
We consider the new divisor 259 and the new remainder 110,and apply the division lemma to get
259 = 110 x 2 + 39
We consider the new divisor 110 and the new remainder 39,and apply the division lemma to get
110 = 39 x 2 + 32
We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get
39 = 32 x 1 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2253 and 1625 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(110,39) = HCF(259,110) = HCF(369,259) = HCF(628,369) = HCF(1625,628) = HCF(2253,1625) .
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 2253, 1625?
Answer: HCF of 2253, 1625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2253, 1625 using Euclid's Algorithm?
Answer: For arbitrary numbers 2253, 1625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.