Highest Common Factor of 439, 915, 353 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 439, 915, 353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 439, 915, 353 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 439, 915, 353 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 439, 915, 353 is 1.

HCF(439, 915, 353) = 1

HCF of 439, 915, 353 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 439, 915, 353 is 1.

Highest Common Factor of 439,915,353 using Euclid's algorithm

Highest Common Factor of 439,915,353 is 1

Step 1: Since 915 > 439, we apply the division lemma to 915 and 439, to get

915 = 439 x 2 + 37

Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 37 and 439, to get

439 = 37 x 11 + 32

Step 3: We consider the new divisor 37 and the new remainder 32, and apply the division lemma to get

37 = 32 x 1 + 5

We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get

32 = 5 x 6 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 439 and 915 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(37,32) = HCF(439,37) = HCF(915,439) .

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

Step 1: Since 353 > 1, we apply the division lemma to 353 and 1, to get

353 = 1 x 353 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 353 is 1

Notice that 1 = HCF(353,1) .

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Frequently Asked Questions on HCF of 439, 915, 353 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 439, 915, 353?

Answer: HCF of 439, 915, 353 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 439, 915, 353 using Euclid's Algorithm?

Answer: For arbitrary numbers 439, 915, 353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.