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 2445, 8895 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 2445, 8895 is 15 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 2445, 8895 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 2445, 8895 is 15.
HCF(2445, 8895) = 15
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2445, 8895 is 15.
Step 1: Since 8895 > 2445, we apply the division lemma to 8895 and 2445, to get
8895 = 2445 x 3 + 1560
Step 2: Since the reminder 2445 ≠ 0, we apply division lemma to 1560 and 2445, to get
2445 = 1560 x 1 + 885
Step 3: We consider the new divisor 1560 and the new remainder 885, and apply the division lemma to get
1560 = 885 x 1 + 675
We consider the new divisor 885 and the new remainder 675,and apply the division lemma to get
885 = 675 x 1 + 210
We consider the new divisor 675 and the new remainder 210,and apply the division lemma to get
675 = 210 x 3 + 45
We consider the new divisor 210 and the new remainder 45,and apply the division lemma to get
210 = 45 x 4 + 30
We consider the new divisor 45 and the new remainder 30,and apply the division lemma to get
45 = 30 x 1 + 15
We consider the new divisor 30 and the new remainder 15,and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 2445 and 8895 is 15
Notice that 15 = HCF(30,15) = HCF(45,30) = HCF(210,45) = HCF(675,210) = HCF(885,675) = HCF(1560,885) = HCF(2445,1560) = HCF(8895,2445) .
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 2445, 8895?
Answer: HCF of 2445, 8895 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2445, 8895 using Euclid's Algorithm?
Answer: For arbitrary numbers 2445, 8895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.