Highest Common Factor of 533, 1880, 2738 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 533, 1880, 2738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 533, 1880, 2738 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 533, 1880, 2738 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 533, 1880, 2738 is 1.

HCF(533, 1880, 2738) = 1

HCF of 533, 1880, 2738 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 533, 1880, 2738 is 1.

Highest Common Factor of 533,1880,2738 using Euclid's algorithm

Highest Common Factor of 533,1880,2738 is 1

Step 1: Since 1880 > 533, we apply the division lemma to 1880 and 533, to get

1880 = 533 x 3 + 281

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 281 and 533, to get

533 = 281 x 1 + 252

Step 3: We consider the new divisor 281 and the new remainder 252, and apply the division lemma to get

281 = 252 x 1 + 29

We consider the new divisor 252 and the new remainder 29,and apply the division lemma to get

252 = 29 x 8 + 20

We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get

29 = 20 x 1 + 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 533 and 1880 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(252,29) = HCF(281,252) = HCF(533,281) = HCF(1880,533) .

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

Step 1: Since 2738 > 1, we apply the division lemma to 2738 and 1, to get

2738 = 1 x 2738 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2738 is 1

Notice that 1 = HCF(2738,1) .

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Frequently Asked Questions on HCF of 533, 1880, 2738 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 533, 1880, 2738?

Answer: HCF of 533, 1880, 2738 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 533, 1880, 2738 using Euclid's Algorithm?

Answer: For arbitrary numbers 533, 1880, 2738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.