Highest Common Factor of 459, 7932 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 459, 7932 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 7932 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 459, 7932 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 459, 7932 is 3.
HCF(459, 7932) = 3
HCF of 459, 7932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 459, 7932 is 3.
Highest Common Factor of 459,7932 is 3
Step 1: Since 7932 > 459, we apply the division lemma to 7932 and 459, to get
7932 = 459 x 17 + 129
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 129 and 459, to get
459 = 129 x 3 + 72
Step 3: We consider the new divisor 129 and the new remainder 72, and apply the division lemma to get
129 = 72 x 1 + 57
We consider the new divisor 72 and the new remainder 57,and apply the division lemma to get
72 = 57 x 1 + 15
We consider the new divisor 57 and the new remainder 15,and apply the division lemma to get
57 = 15 x 3 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 459 and 7932 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(57,15) = HCF(72,57) = HCF(129,72) = HCF(459,129) = HCF(7932,459) .
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Frequently Asked Questions on HCF of 459, 7932 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 459, 7932?
Answer: HCF of 459, 7932 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 7932 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 7932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.