Highest Common Factor of 396, 927 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, 927 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 396, 927 is 9 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, 927 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, 927 is 9.
HCF(396, 927) = 9
HCF of 396, 927 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, 927 is 9.
Highest Common Factor of 396,927 is 9
Step 1: Since 927 > 396, we apply the division lemma to 927 and 396, to get
927 = 396 x 2 + 135
Step 2: Since the reminder 396 ≠ 0, we apply division lemma to 135 and 396, to get
396 = 135 x 2 + 126
Step 3: We consider the new divisor 135 and the new remainder 126, and apply the division lemma to get
135 = 126 x 1 + 9
We consider the new divisor 126 and the new remainder 9, and apply the division lemma to get
126 = 9 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 396 and 927 is 9
Notice that 9 = HCF(126,9) = HCF(135,126) = HCF(396,135) = HCF(927,396) .
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Frequently Asked Questions on HCF of 396, 927 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, 927?
Answer: HCF of 396, 927 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 396, 927 using Euclid's Algorithm?
Answer: For arbitrary numbers 396, 927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
