Highest Common Factor of 444, 605, 425, 289 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 444, 605, 425, 289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 444, 605, 425, 289 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 444, 605, 425, 289 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 444, 605, 425, 289 is 1.

HCF(444, 605, 425, 289) = 1

HCF of 444, 605, 425, 289 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 444, 605, 425, 289 is 1.

Highest Common Factor of 444,605,425,289 using Euclid's algorithm

Highest Common Factor of 444,605,425,289 is 1

Step 1: Since 605 > 444, we apply the division lemma to 605 and 444, to get

605 = 444 x 1 + 161

Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 161 and 444, to get

444 = 161 x 2 + 122

Step 3: We consider the new divisor 161 and the new remainder 122, and apply the division lemma to get

161 = 122 x 1 + 39

We consider the new divisor 122 and the new remainder 39,and apply the division lemma to get

122 = 39 x 3 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 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 444 and 605 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(122,39) = HCF(161,122) = HCF(444,161) = HCF(605,444) .

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

Step 1: Since 425 > 1, we apply the division lemma to 425 and 1, to get

425 = 1 x 425 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 425 is 1

Notice that 1 = HCF(425,1) .

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

Step 1: Since 289 > 1, we apply the division lemma to 289 and 1, to get

289 = 1 x 289 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 289 is 1

Notice that 1 = HCF(289,1) .

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Frequently Asked Questions on HCF of 444, 605, 425, 289 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 444, 605, 425, 289?

Answer: HCF of 444, 605, 425, 289 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 444, 605, 425, 289 using Euclid's Algorithm?

Answer: For arbitrary numbers 444, 605, 425, 289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.