Highest Common Factor of 888, 1455 using Euclid's algorithm
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, 1455 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 1455 is 3 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, 1455 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, 1455 is 3.
HCF(888, 1455) = 3
HCF of 888, 1455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 888, 1455 is 3.
Highest Common Factor of 888,1455 is 3
Step 1: Since 1455 > 888, we apply the division lemma to 1455 and 888, to get
1455 = 888 x 1 + 567
Step 2: Since the reminder 888 ≠ 0, we apply division lemma to 567 and 888, to get
888 = 567 x 1 + 321
Step 3: We consider the new divisor 567 and the new remainder 321, and apply the division lemma to get
567 = 321 x 1 + 246
We consider the new divisor 321 and the new remainder 246,and apply the division lemma to get
321 = 246 x 1 + 75
We consider the new divisor 246 and the new remainder 75,and apply the division lemma to get
246 = 75 x 3 + 21
We consider the new divisor 75 and the new remainder 21,and apply the division lemma to get
75 = 21 x 3 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 888 and 1455 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(75,21) = HCF(246,75) = HCF(321,246) = HCF(567,321) = HCF(888,567) = HCF(1455,888) .
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Frequently Asked Questions on HCF of 888, 1455 using Euclid's Algorithm
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, 1455?
Answer: HCF of 888, 1455 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 1455 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 1455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.