Highest Common Factor of 2810, 7471, 36020 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 2810, 7471, 36020 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2810, 7471, 36020 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 2810, 7471, 36020 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 2810, 7471, 36020 is 1.

HCF(2810, 7471, 36020) = 1

HCF of 2810, 7471, 36020 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 2810, 7471, 36020 is 1.

Highest Common Factor of 2810,7471,36020 using Euclid's algorithm

Highest Common Factor of 2810,7471,36020 is 1

Step 1: Since 7471 > 2810, we apply the division lemma to 7471 and 2810, to get

7471 = 2810 x 2 + 1851

Step 2: Since the reminder 2810 ≠ 0, we apply division lemma to 1851 and 2810, to get

2810 = 1851 x 1 + 959

Step 3: We consider the new divisor 1851 and the new remainder 959, and apply the division lemma to get

1851 = 959 x 1 + 892

We consider the new divisor 959 and the new remainder 892,and apply the division lemma to get

959 = 892 x 1 + 67

We consider the new divisor 892 and the new remainder 67,and apply the division lemma to get

892 = 67 x 13 + 21

We consider the new divisor 67 and the new remainder 21,and apply the division lemma to get

67 = 21 x 3 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 2810 and 7471 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(67,21) = HCF(892,67) = HCF(959,892) = HCF(1851,959) = HCF(2810,1851) = HCF(7471,2810) .

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

Step 1: Since 36020 > 1, we apply the division lemma to 36020 and 1, to get

36020 = 1 x 36020 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36020 is 1

Notice that 1 = HCF(36020,1) .

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Frequently Asked Questions on HCF of 2810, 7471, 36020 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 2810, 7471, 36020?

Answer: HCF of 2810, 7471, 36020 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2810, 7471, 36020 using Euclid's Algorithm?

Answer: For arbitrary numbers 2810, 7471, 36020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.