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 888, 655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 655 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 888, 655 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 888, 655 is 1.
HCF(888, 655) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 888, 655 is 1.
Step 1: Since 888 > 655, we apply the division lemma to 888 and 655, to get
888 = 655 x 1 + 233
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 233 and 655, to get
655 = 233 x 2 + 189
Step 3: We consider the new divisor 233 and the new remainder 189, and apply the division lemma to get
233 = 189 x 1 + 44
We consider the new divisor 189 and the new remainder 44,and apply the division lemma to get
189 = 44 x 4 + 13
We consider the new divisor 44 and the new remainder 13,and apply the division lemma to get
44 = 13 x 3 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 888 and 655 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(189,44) = HCF(233,189) = HCF(655,233) = HCF(888,655) .
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 888, 655?
Answer: HCF of 888, 655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 655 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.