Highest Common Factor of 275, 300, 588 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 275, 300, 588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 275, 300, 588 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 275, 300, 588 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 275, 300, 588 is 1.
HCF(275, 300, 588) = 1
HCF of 275, 300, 588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 275, 300, 588 is 1.
Highest Common Factor of 275,300,588 is 1
Step 1: Since 300 > 275, we apply the division lemma to 300 and 275, to get
300 = 275 x 1 + 25
Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 25 and 275, to get
275 = 25 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 275 and 300 is 25
Notice that 25 = HCF(275,25) = HCF(300,275) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 588 > 25, we apply the division lemma to 588 and 25, to get
588 = 25 x 23 + 13
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 13 and 25, to get
25 = 13 x 1 + 12
Step 3: We consider the new divisor 13 and the new remainder 12, and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1, and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 25 and 588 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(588,25) .
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Frequently Asked Questions on HCF of 275, 300, 588 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 275, 300, 588?
Answer: HCF of 275, 300, 588 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 275, 300, 588 using Euclid's Algorithm?
Answer: For arbitrary numbers 275, 300, 588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.