Highest Common Factor of 3145, 1607, 56383 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 3145, 1607, 56383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3145, 1607, 56383 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 3145, 1607, 56383 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 3145, 1607, 56383 is 1.

HCF(3145, 1607, 56383) = 1

HCF of 3145, 1607, 56383 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 3145, 1607, 56383 is 1.

Highest Common Factor of 3145,1607,56383 using Euclid's algorithm

Highest Common Factor of 3145,1607,56383 is 1

Step 1: Since 3145 > 1607, we apply the division lemma to 3145 and 1607, to get

3145 = 1607 x 1 + 1538

Step 2: Since the reminder 1607 ≠ 0, we apply division lemma to 1538 and 1607, to get

1607 = 1538 x 1 + 69

Step 3: We consider the new divisor 1538 and the new remainder 69, and apply the division lemma to get

1538 = 69 x 22 + 20

We consider the new divisor 69 and the new remainder 20,and apply the division lemma to get

69 = 20 x 3 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3145 and 1607 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(69,20) = HCF(1538,69) = HCF(1607,1538) = HCF(3145,1607) .

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

Step 1: Since 56383 > 1, we apply the division lemma to 56383 and 1, to get

56383 = 1 x 56383 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56383 is 1

Notice that 1 = HCF(56383,1) .

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Frequently Asked Questions on HCF of 3145, 1607, 56383 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 3145, 1607, 56383?

Answer: HCF of 3145, 1607, 56383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3145, 1607, 56383 using Euclid's Algorithm?

Answer: For arbitrary numbers 3145, 1607, 56383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.