Highest Common Factor of 912, 419, 230 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 912, 419, 230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 912, 419, 230 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 912, 419, 230 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 912, 419, 230 is 1.

HCF(912, 419, 230) = 1

HCF of 912, 419, 230 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 912, 419, 230 is 1.

Highest Common Factor of 912,419,230 using Euclid's algorithm

Highest Common Factor of 912,419,230 is 1

Step 1: Since 912 > 419, we apply the division lemma to 912 and 419, to get

912 = 419 x 2 + 74

Step 2: Since the reminder 419 ≠ 0, we apply division lemma to 74 and 419, to get

419 = 74 x 5 + 49

Step 3: We consider the new divisor 74 and the new remainder 49, and apply the division lemma to get

74 = 49 x 1 + 25

We consider the new divisor 49 and the new remainder 25,and apply the division lemma to get

49 = 25 x 1 + 24

We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get

25 = 24 x 1 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 912 and 419 is 1

Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(49,25) = HCF(74,49) = HCF(419,74) = HCF(912,419) .

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

Step 1: Since 230 > 1, we apply the division lemma to 230 and 1, to get

230 = 1 x 230 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 230 is 1

Notice that 1 = HCF(230,1) .

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Frequently Asked Questions on HCF of 912, 419, 230 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 912, 419, 230?

Answer: HCF of 912, 419, 230 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 912, 419, 230 using Euclid's Algorithm?

Answer: For arbitrary numbers 912, 419, 230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.