Highest Common Factor of 396, 603, 927, 75 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 396, 603, 927, 75 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 396, 603, 927, 75 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 396, 603, 927, 75 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 396, 603, 927, 75 is 3.
HCF(396, 603, 927, 75) = 3
HCF of 396, 603, 927, 75 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 396, 603, 927, 75 is 3.
Highest Common Factor of 396,603,927,75 is 3
Step 1: Since 603 > 396, we apply the division lemma to 603 and 396, to get
603 = 396 x 1 + 207
Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 207 and 396, to get
396 = 207 x 1 + 189
Step 3: We consider the new divisor 207 and the new remainder 189, and apply the division lemma to get
207 = 189 x 1 + 18
We consider the new divisor 189 and the new remainder 18,and apply the division lemma to get
189 = 18 x 10 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 396 and 603 is 9
Notice that 9 = HCF(18,9) = HCF(189,18) = HCF(207,189) = HCF(396,207) = HCF(603,396) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 927 > 9, we apply the division lemma to 927 and 9, to get
927 = 9 x 103 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9 and 927 is 9
Notice that 9 = HCF(927,9) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 75 > 9, we apply the division lemma to 75 and 9, to get
75 = 9 x 8 + 3
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 3 and 9, 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 9 and 75 is 3
Notice that 3 = HCF(9,3) = HCF(75,9) .
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Frequently Asked Questions on HCF of 396, 603, 927, 75 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 396, 603, 927, 75?
Answer: HCF of 396, 603, 927, 75 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 396, 603, 927, 75 using Euclid's Algorithm?
Answer: For arbitrary numbers 396, 603, 927, 75 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.