Highest Common Factor of 1482, 3430, 55964 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 1482, 3430, 55964 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1482, 3430, 55964 is 2 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 1482, 3430, 55964 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 1482, 3430, 55964 is 2.
HCF(1482, 3430, 55964) = 2
HCF of 1482, 3430, 55964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1482, 3430, 55964 is 2.
Highest Common Factor of 1482,3430,55964 is 2
Step 1: Since 3430 > 1482, we apply the division lemma to 3430 and 1482, to get
3430 = 1482 x 2 + 466
Step 2: Since the reminder 1482 ≠ 0, we apply division lemma to 466 and 1482, to get
1482 = 466 x 3 + 84
Step 3: We consider the new divisor 466 and the new remainder 84, and apply the division lemma to get
466 = 84 x 5 + 46
We consider the new divisor 84 and the new remainder 46,and apply the division lemma to get
84 = 46 x 1 + 38
We consider the new divisor 46 and the new remainder 38,and apply the division lemma to get
46 = 38 x 1 + 8
We consider the new divisor 38 and the new remainder 8,and apply the division lemma to get
38 = 8 x 4 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1482 and 3430 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(38,8) = HCF(46,38) = HCF(84,46) = HCF(466,84) = HCF(1482,466) = HCF(3430,1482) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55964 > 2, we apply the division lemma to 55964 and 2, to get
55964 = 2 x 27982 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 55964 is 2
Notice that 2 = HCF(55964,2) .
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Frequently Asked Questions on HCF of 1482, 3430, 55964 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 1482, 3430, 55964?
Answer: HCF of 1482, 3430, 55964 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1482, 3430, 55964 using Euclid's Algorithm?
Answer: For arbitrary numbers 1482, 3430, 55964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.