Highest Common Factor of 544, 730, 49 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 544, 730, 49 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 544, 730, 49 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 544, 730, 49 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 544, 730, 49 is 1.

HCF(544, 730, 49) = 1

HCF of 544, 730, 49 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 544, 730, 49 is 1.

Highest Common Factor of 544,730,49 using Euclid's algorithm

Highest Common Factor of 544,730,49 is 1

Step 1: Since 730 > 544, we apply the division lemma to 730 and 544, to get

730 = 544 x 1 + 186

Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 186 and 544, to get

544 = 186 x 2 + 172

Step 3: We consider the new divisor 186 and the new remainder 172, and apply the division lemma to get

186 = 172 x 1 + 14

We consider the new divisor 172 and the new remainder 14,and apply the division lemma to get

172 = 14 x 12 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 544 and 730 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(172,14) = HCF(186,172) = HCF(544,186) = HCF(730,544) .

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

Step 1: Since 49 > 2, we apply the division lemma to 49 and 2, to get

49 = 2 x 24 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 49 is 1

Notice that 1 = HCF(2,1) = HCF(49,2) .

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Frequently Asked Questions on HCF of 544, 730, 49 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 544, 730, 49?

Answer: HCF of 544, 730, 49 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 544, 730, 49 using Euclid's Algorithm?

Answer: For arbitrary numbers 544, 730, 49 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.