Highest Common Factor of 483, 782 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 483, 782 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 483, 782 is 23 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 483, 782 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 483, 782 is 23.
HCF(483, 782) = 23
HCF of 483, 782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 483, 782 is 23.
Highest Common Factor of 483,782 is 23
Step 1: Since 782 > 483, we apply the division lemma to 782 and 483, to get
782 = 483 x 1 + 299
Step 2: Since the reminder 483 ≠ 0, we apply division lemma to 299 and 483, to get
483 = 299 x 1 + 184
Step 3: We consider the new divisor 299 and the new remainder 184, and apply the division lemma to get
299 = 184 x 1 + 115
We consider the new divisor 184 and the new remainder 115,and apply the division lemma to get
184 = 115 x 1 + 69
We consider the new divisor 115 and the new remainder 69,and apply the division lemma to get
115 = 69 x 1 + 46
We consider the new divisor 69 and the new remainder 46,and apply the division lemma to get
69 = 46 x 1 + 23
We consider the new divisor 46 and the new remainder 23,and apply the division lemma to get
46 = 23 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 483 and 782 is 23
Notice that 23 = HCF(46,23) = HCF(69,46) = HCF(115,69) = HCF(184,115) = HCF(299,184) = HCF(483,299) = HCF(782,483) .
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Frequently Asked Questions on HCF of 483, 782 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 483, 782?
Answer: HCF of 483, 782 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 483, 782 using Euclid's Algorithm?
Answer: For arbitrary numbers 483, 782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.