Highest Common Factor of 888, 320, 913 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, 320, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 320, 913 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, 320, 913 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, 320, 913 is 1.
HCF(888, 320, 913) = 1
HCF of 888, 320, 913 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, 320, 913 is 1.
Highest Common Factor of 888,320,913 is 1
Step 1: Since 888 > 320, we apply the division lemma to 888 and 320, to get
888 = 320 x 2 + 248
Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 248 and 320, to get
320 = 248 x 1 + 72
Step 3: We consider the new divisor 248 and the new remainder 72, and apply the division lemma to get
248 = 72 x 3 + 32
We consider the new divisor 72 and the new remainder 32,and apply the division lemma to get
72 = 32 x 2 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 888 and 320 is 8
Notice that 8 = HCF(32,8) = HCF(72,32) = HCF(248,72) = HCF(320,248) = HCF(888,320) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 913 > 8, we apply the division lemma to 913 and 8, to get
913 = 8 x 114 + 1
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 1 and 8, to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 913 is 1
Notice that 1 = HCF(8,1) = HCF(913,8) .
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Frequently Asked Questions on HCF of 888, 320, 913 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, 320, 913?
Answer: HCF of 888, 320, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 320, 913 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 320, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.