Highest Common Factor of 2273, 3010, 71555 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 2273, 3010, 71555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2273, 3010, 71555 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 2273, 3010, 71555 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 2273, 3010, 71555 is 1.

HCF(2273, 3010, 71555) = 1

HCF of 2273, 3010, 71555 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 2273, 3010, 71555 is 1.

Highest Common Factor of 2273,3010,71555 using Euclid's algorithm

Highest Common Factor of 2273,3010,71555 is 1

Step 1: Since 3010 > 2273, we apply the division lemma to 3010 and 2273, to get

3010 = 2273 x 1 + 737

Step 2: Since the reminder 2273 ≠ 0, we apply division lemma to 737 and 2273, to get

2273 = 737 x 3 + 62

Step 3: We consider the new divisor 737 and the new remainder 62, and apply the division lemma to get

737 = 62 x 11 + 55

We consider the new divisor 62 and the new remainder 55,and apply the division lemma to get

62 = 55 x 1 + 7

We consider the new divisor 55 and the new remainder 7,and apply the division lemma to get

55 = 7 x 7 + 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 2273 and 3010 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(55,7) = HCF(62,55) = HCF(737,62) = HCF(2273,737) = HCF(3010,2273) .

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

Step 1: Since 71555 > 1, we apply the division lemma to 71555 and 1, to get

71555 = 1 x 71555 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71555 is 1

Notice that 1 = HCF(71555,1) .

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Frequently Asked Questions on HCF of 2273, 3010, 71555 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 2273, 3010, 71555?

Answer: HCF of 2273, 3010, 71555 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2273, 3010, 71555 using Euclid's Algorithm?

Answer: For arbitrary numbers 2273, 3010, 71555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.