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 1885, 8857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1885, 8857 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 1885, 8857 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 1885, 8857 is 1.
HCF(1885, 8857) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1885, 8857 is 1.
Step 1: Since 8857 > 1885, we apply the division lemma to 8857 and 1885, to get
8857 = 1885 x 4 + 1317
Step 2: Since the reminder 1885 ≠ 0, we apply division lemma to 1317 and 1885, to get
1885 = 1317 x 1 + 568
Step 3: We consider the new divisor 1317 and the new remainder 568, and apply the division lemma to get
1317 = 568 x 2 + 181
We consider the new divisor 568 and the new remainder 181,and apply the division lemma to get
568 = 181 x 3 + 25
We consider the new divisor 181 and the new remainder 25,and apply the division lemma to get
181 = 25 x 7 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1885 and 8857 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(181,25) = HCF(568,181) = HCF(1317,568) = HCF(1885,1317) = HCF(8857,1885) .
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 1885, 8857?
Answer: HCF of 1885, 8857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1885, 8857 using Euclid's Algorithm?
Answer: For arbitrary numbers 1885, 8857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.