Highest Common Factor of 888, 563, 691 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, 563, 691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 563, 691 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, 563, 691 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, 563, 691 is 1.
HCF(888, 563, 691) = 1
HCF of 888, 563, 691 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, 563, 691 is 1.
Highest Common Factor of 888,563,691 is 1
Step 1: Since 888 > 563, we apply the division lemma to 888 and 563, to get
888 = 563 x 1 + 325
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 325 and 563, to get
563 = 325 x 1 + 238
Step 3: We consider the new divisor 325 and the new remainder 238, and apply the division lemma to get
325 = 238 x 1 + 87
We consider the new divisor 238 and the new remainder 87,and apply the division lemma to get
238 = 87 x 2 + 64
We consider the new divisor 87 and the new remainder 64,and apply the division lemma to get
87 = 64 x 1 + 23
We consider the new divisor 64 and the new remainder 23,and apply the division lemma to get
64 = 23 x 2 + 18
We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get
23 = 18 x 1 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 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 563 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(64,23) = HCF(87,64) = HCF(238,87) = HCF(325,238) = HCF(563,325) = HCF(888,563) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 691 > 1, we apply the division lemma to 691 and 1, to get
691 = 1 x 691 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 691 is 1
Notice that 1 = HCF(691,1) .
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Frequently Asked Questions on HCF of 888, 563, 691 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, 563, 691?
Answer: HCF of 888, 563, 691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 563, 691 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 563, 691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
