Highest Common Factor of 629, 801, 905, 544 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 629, 801, 905, 544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 629, 801, 905, 544 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 629, 801, 905, 544 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 629, 801, 905, 544 is 1.

HCF(629, 801, 905, 544) = 1

HCF of 629, 801, 905, 544 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 629, 801, 905, 544 is 1.

Highest Common Factor of 629,801,905,544 using Euclid's algorithm

Highest Common Factor of 629,801,905,544 is 1

Step 1: Since 801 > 629, we apply the division lemma to 801 and 629, to get

801 = 629 x 1 + 172

Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 172 and 629, to get

629 = 172 x 3 + 113

Step 3: We consider the new divisor 172 and the new remainder 113, and apply the division lemma to get

172 = 113 x 1 + 59

We consider the new divisor 113 and the new remainder 59,and apply the division lemma to get

113 = 59 x 1 + 54

We consider the new divisor 59 and the new remainder 54,and apply the division lemma to get

59 = 54 x 1 + 5

We consider the new divisor 54 and the new remainder 5,and apply the division lemma to get

54 = 5 x 10 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 629 and 801 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(54,5) = HCF(59,54) = HCF(113,59) = HCF(172,113) = HCF(629,172) = HCF(801,629) .

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

Step 1: Since 905 > 1, we apply the division lemma to 905 and 1, to get

905 = 1 x 905 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 905 is 1

Notice that 1 = HCF(905,1) .

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

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

544 = 1 x 544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1

Notice that 1 = HCF(544,1) .

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Frequently Asked Questions on HCF of 629, 801, 905, 544 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 629, 801, 905, 544?

Answer: HCF of 629, 801, 905, 544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 629, 801, 905, 544 using Euclid's Algorithm?

Answer: For arbitrary numbers 629, 801, 905, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.