Highest Common Factor of 1594, 1149 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 1594, 1149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1594, 1149 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 1594, 1149 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 1594, 1149 is 1.

HCF(1594, 1149) = 1

HCF of 1594, 1149 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 1594, 1149 is 1.

Highest Common Factor of 1594,1149 using Euclid's algorithm

Highest Common Factor of 1594,1149 is 1

Step 1: Since 1594 > 1149, we apply the division lemma to 1594 and 1149, to get

1594 = 1149 x 1 + 445

Step 2: Since the reminder 1149 ≠ 0, we apply division lemma to 445 and 1149, to get

1149 = 445 x 2 + 259

Step 3: We consider the new divisor 445 and the new remainder 259, and apply the division lemma to get

445 = 259 x 1 + 186

We consider the new divisor 259 and the new remainder 186,and apply the division lemma to get

259 = 186 x 1 + 73

We consider the new divisor 186 and the new remainder 73,and apply the division lemma to get

186 = 73 x 2 + 40

We consider the new divisor 73 and the new remainder 40,and apply the division lemma to get

73 = 40 x 1 + 33

We consider the new divisor 40 and the new remainder 33,and apply the division lemma to get

40 = 33 x 1 + 7

We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get

33 = 7 x 4 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 1594 and 1149 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(40,33) = HCF(73,40) = HCF(186,73) = HCF(259,186) = HCF(445,259) = HCF(1149,445) = HCF(1594,1149) .

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Frequently Asked Questions on HCF of 1594, 1149 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 1594, 1149?

Answer: HCF of 1594, 1149 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1594, 1149 using Euclid's Algorithm?

Answer: For arbitrary numbers 1594, 1149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.