Highest Common Factor of 447, 601, 639 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 447, 601, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 447, 601, 639 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 447, 601, 639 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 447, 601, 639 is 1.

HCF(447, 601, 639) = 1

HCF of 447, 601, 639 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 447, 601, 639 is 1.

Highest Common Factor of 447,601,639 using Euclid's algorithm

Highest Common Factor of 447,601,639 is 1

Step 1: Since 601 > 447, we apply the division lemma to 601 and 447, to get

601 = 447 x 1 + 154

Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 154 and 447, to get

447 = 154 x 2 + 139

Step 3: We consider the new divisor 154 and the new remainder 139, and apply the division lemma to get

154 = 139 x 1 + 15

We consider the new divisor 139 and the new remainder 15,and apply the division lemma to get

139 = 15 x 9 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 447 and 601 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(139,15) = HCF(154,139) = HCF(447,154) = HCF(601,447) .

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

Step 1: Since 639 > 1, we apply the division lemma to 639 and 1, to get

639 = 1 x 639 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 639 is 1

Notice that 1 = HCF(639,1) .

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Frequently Asked Questions on HCF of 447, 601, 639 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 447, 601, 639?

Answer: HCF of 447, 601, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 447, 601, 639 using Euclid's Algorithm?

Answer: For arbitrary numbers 447, 601, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.