Highest Common Factor of 459, 6753 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, 6753 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 6753 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, 6753 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, 6753 is 3.
HCF(459, 6753) = 3
HCF of 459, 6753 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, 6753 is 3.
Highest Common Factor of 459,6753 is 3
Step 1: Since 6753 > 459, we apply the division lemma to 6753 and 459, to get
6753 = 459 x 14 + 327
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 327 and 459, to get
459 = 327 x 1 + 132
Step 3: We consider the new divisor 327 and the new remainder 132, and apply the division lemma to get
327 = 132 x 2 + 63
We consider the new divisor 132 and the new remainder 63,and apply the division lemma to get
132 = 63 x 2 + 6
We consider the new divisor 63 and the new remainder 6,and apply the division lemma to get
63 = 6 x 10 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 459 and 6753 is 3
Notice that 3 = HCF(6,3) = HCF(63,6) = HCF(132,63) = HCF(327,132) = HCF(459,327) = HCF(6753,459) .
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Frequently Asked Questions on HCF of 459, 6753 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, 6753?
Answer: HCF of 459, 6753 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 6753 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 6753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.