Highest Common Factor of 6415, 3283, 54668 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 6415, 3283, 54668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6415, 3283, 54668 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 6415, 3283, 54668 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 6415, 3283, 54668 is 1.

HCF(6415, 3283, 54668) = 1

HCF of 6415, 3283, 54668 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6415, 3283, 54668 is 1.

Highest Common Factor of 6415,3283,54668 using Euclid's algorithm

Highest Common Factor of 6415,3283,54668 is 1

Step 1: Since 6415 > 3283, we apply the division lemma to 6415 and 3283, to get

6415 = 3283 x 1 + 3132

Step 2: Since the reminder 3283 ≠ 0, we apply division lemma to 3132 and 3283, to get

3283 = 3132 x 1 + 151

Step 3: We consider the new divisor 3132 and the new remainder 151, and apply the division lemma to get

3132 = 151 x 20 + 112

We consider the new divisor 151 and the new remainder 112,and apply the division lemma to get

151 = 112 x 1 + 39

We consider the new divisor 112 and the new remainder 39,and apply the division lemma to get

112 = 39 x 2 + 34

We consider the new divisor 39 and the new remainder 34,and apply the division lemma to get

39 = 34 x 1 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6415 and 3283 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(39,34) = HCF(112,39) = HCF(151,112) = HCF(3132,151) = HCF(3283,3132) = HCF(6415,3283) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 54668 > 1, we apply the division lemma to 54668 and 1, to get

54668 = 1 x 54668 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54668 is 1

Notice that 1 = HCF(54668,1) .

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Frequently Asked Questions on HCF of 6415, 3283, 54668 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 6415, 3283, 54668?

Answer: HCF of 6415, 3283, 54668 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6415, 3283, 54668 using Euclid's Algorithm?

Answer: For arbitrary numbers 6415, 3283, 54668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.