Highest Common Factor of 3078, 2573, 50020 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 3078, 2573, 50020 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3078, 2573, 50020 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 3078, 2573, 50020 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 3078, 2573, 50020 is 1.

HCF(3078, 2573, 50020) = 1

HCF of 3078, 2573, 50020 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 3078, 2573, 50020 is 1.

Highest Common Factor of 3078,2573,50020 using Euclid's algorithm

Highest Common Factor of 3078,2573,50020 is 1

Step 1: Since 3078 > 2573, we apply the division lemma to 3078 and 2573, to get

3078 = 2573 x 1 + 505

Step 2: Since the reminder 2573 ≠ 0, we apply division lemma to 505 and 2573, to get

2573 = 505 x 5 + 48

Step 3: We consider the new divisor 505 and the new remainder 48, and apply the division lemma to get

505 = 48 x 10 + 25

We consider the new divisor 48 and the new remainder 25,and apply the division lemma to get

48 = 25 x 1 + 23

We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get

25 = 23 x 1 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 3078 and 2573 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(48,25) = HCF(505,48) = HCF(2573,505) = HCF(3078,2573) .

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

Step 1: Since 50020 > 1, we apply the division lemma to 50020 and 1, to get

50020 = 1 x 50020 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50020 is 1

Notice that 1 = HCF(50020,1) .

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Frequently Asked Questions on HCF of 3078, 2573, 50020 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 3078, 2573, 50020?

Answer: HCF of 3078, 2573, 50020 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3078, 2573, 50020 using Euclid's Algorithm?

Answer: For arbitrary numbers 3078, 2573, 50020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.