Highest Common Factor of 888, 88965 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, 88965 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 88965 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, 88965 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, 88965 is 3.
HCF(888, 88965) = 3
HCF of 888, 88965 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, 88965 is 3.
Highest Common Factor of 888,88965 is 3
Step 1: Since 88965 > 888, we apply the division lemma to 88965 and 888, to get
88965 = 888 x 100 + 165
Step 2: Since the reminder 888 ≠ 0, we apply division lemma to 165 and 888, to get
888 = 165 x 5 + 63
Step 3: We consider the new divisor 165 and the new remainder 63, and apply the division lemma to get
165 = 63 x 2 + 39
We consider the new divisor 63 and the new remainder 39,and apply the division lemma to get
63 = 39 x 1 + 24
We consider the new divisor 39 and the new remainder 24,and apply the division lemma to get
39 = 24 x 1 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 888 and 88965 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(39,24) = HCF(63,39) = HCF(165,63) = HCF(888,165) = HCF(88965,888) .
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Frequently Asked Questions on HCF of 888, 88965 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, 88965?
Answer: HCF of 888, 88965 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 88965 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 88965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.