Highest Common Factor of 244, 457, 914, 73 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 244, 457, 914, 73 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 244, 457, 914, 73 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 244, 457, 914, 73 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 244, 457, 914, 73 is 1.

HCF(244, 457, 914, 73) = 1

HCF of 244, 457, 914, 73 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 244, 457, 914, 73 is 1.

Highest Common Factor of 244,457,914,73 using Euclid's algorithm

Highest Common Factor of 244,457,914,73 is 1

Step 1: Since 457 > 244, we apply the division lemma to 457 and 244, to get

457 = 244 x 1 + 213

Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 213 and 244, to get

244 = 213 x 1 + 31

Step 3: We consider the new divisor 213 and the new remainder 31, and apply the division lemma to get

213 = 31 x 6 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 244 and 457 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(213,31) = HCF(244,213) = HCF(457,244) .

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

Step 1: Since 914 > 1, we apply the division lemma to 914 and 1, to get

914 = 1 x 914 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 914 is 1

Notice that 1 = HCF(914,1) .

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

Step 1: Since 73 > 1, we apply the division lemma to 73 and 1, to get

73 = 1 x 73 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73 is 1

Notice that 1 = HCF(73,1) .

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Frequently Asked Questions on HCF of 244, 457, 914, 73 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 244, 457, 914, 73?

Answer: HCF of 244, 457, 914, 73 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 244, 457, 914, 73 using Euclid's Algorithm?

Answer: For arbitrary numbers 244, 457, 914, 73 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.