Highest Common Factor of 350, 915, 399 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 350, 915, 399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 350, 915, 399 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 350, 915, 399 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 350, 915, 399 is 1.

HCF(350, 915, 399) = 1

HCF of 350, 915, 399 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 350, 915, 399 is 1.

Highest Common Factor of 350,915,399 using Euclid's algorithm

Highest Common Factor of 350,915,399 is 1

Step 1: Since 915 > 350, we apply the division lemma to 915 and 350, to get

915 = 350 x 2 + 215

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 215 and 350, to get

350 = 215 x 1 + 135

Step 3: We consider the new divisor 215 and the new remainder 135, and apply the division lemma to get

215 = 135 x 1 + 80

We consider the new divisor 135 and the new remainder 80,and apply the division lemma to get

135 = 80 x 1 + 55

We consider the new divisor 80 and the new remainder 55,and apply the division lemma to get

80 = 55 x 1 + 25

We consider the new divisor 55 and the new remainder 25,and apply the division lemma to get

55 = 25 x 2 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 350 and 915 is 5

Notice that 5 = HCF(25,5) = HCF(55,25) = HCF(80,55) = HCF(135,80) = HCF(215,135) = HCF(350,215) = HCF(915,350) .

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

Step 1: Since 399 > 5, we apply the division lemma to 399 and 5, to get

399 = 5 x 79 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 399 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(399,5) .

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Frequently Asked Questions on HCF of 350, 915, 399 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 350, 915, 399?

Answer: HCF of 350, 915, 399 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 350, 915, 399 using Euclid's Algorithm?

Answer: For arbitrary numbers 350, 915, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.