Highest Common Factor of 3054, 5653, 30150 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 3054, 5653, 30150 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3054, 5653, 30150 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 3054, 5653, 30150 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 3054, 5653, 30150 is 1.

HCF(3054, 5653, 30150) = 1

HCF of 3054, 5653, 30150 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 3054, 5653, 30150 is 1.

Highest Common Factor of 3054,5653,30150 using Euclid's algorithm

Highest Common Factor of 3054,5653,30150 is 1

Step 1: Since 5653 > 3054, we apply the division lemma to 5653 and 3054, to get

5653 = 3054 x 1 + 2599

Step 2: Since the reminder 3054 ≠ 0, we apply division lemma to 2599 and 3054, to get

3054 = 2599 x 1 + 455

Step 3: We consider the new divisor 2599 and the new remainder 455, and apply the division lemma to get

2599 = 455 x 5 + 324

We consider the new divisor 455 and the new remainder 324,and apply the division lemma to get

455 = 324 x 1 + 131

We consider the new divisor 324 and the new remainder 131,and apply the division lemma to get

324 = 131 x 2 + 62

We consider the new divisor 131 and the new remainder 62,and apply the division lemma to get

131 = 62 x 2 + 7

We consider the new divisor 62 and the new remainder 7,and apply the division lemma to get

62 = 7 x 8 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3054 and 5653 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(62,7) = HCF(131,62) = HCF(324,131) = HCF(455,324) = HCF(2599,455) = HCF(3054,2599) = HCF(5653,3054) .

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

Step 1: Since 30150 > 1, we apply the division lemma to 30150 and 1, to get

30150 = 1 x 30150 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30150 is 1

Notice that 1 = HCF(30150,1) .

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Frequently Asked Questions on HCF of 3054, 5653, 30150 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 3054, 5653, 30150?

Answer: HCF of 3054, 5653, 30150 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3054, 5653, 30150 using Euclid's Algorithm?

Answer: For arbitrary numbers 3054, 5653, 30150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.