Highest Common Factor of 582, 783, 118 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 582, 783, 118 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 582, 783, 118 is 1 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 582, 783, 118 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 582, 783, 118 is 1.
HCF(582, 783, 118) = 1
HCF of 582, 783, 118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 582, 783, 118 is 1.
Highest Common Factor of 582,783,118 is 1
Step 1: Since 783 > 582, we apply the division lemma to 783 and 582, to get
783 = 582 x 1 + 201
Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 201 and 582, to get
582 = 201 x 2 + 180
Step 3: We consider the new divisor 201 and the new remainder 180, and apply the division lemma to get
201 = 180 x 1 + 21
We consider the new divisor 180 and the new remainder 21,and apply the division lemma to get
180 = 21 x 8 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma 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 582 and 783 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(180,21) = HCF(201,180) = HCF(582,201) = HCF(783,582) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 118 > 3, we apply the division lemma to 118 and 3, to get
118 = 3 x 39 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 118 is 1
Notice that 1 = HCF(3,1) = HCF(118,3) .
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Frequently Asked Questions on HCF of 582, 783, 118 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 582, 783, 118?
Answer: HCF of 582, 783, 118 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 582, 783, 118 using Euclid's Algorithm?
Answer: For arbitrary numbers 582, 783, 118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.