Highest Common Factor of 449, 750 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 449, 750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 449, 750 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 449, 750 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 449, 750 is 1.

HCF(449, 750) = 1

HCF of 449, 750 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 449, 750 is 1.

Highest Common Factor of 449,750 using Euclid's algorithm

Highest Common Factor of 449,750 is 1

Step 1: Since 750 > 449, we apply the division lemma to 750 and 449, to get

750 = 449 x 1 + 301

Step 2: Since the reminder 449 ≠ 0, we apply division lemma to 301 and 449, to get

449 = 301 x 1 + 148

Step 3: We consider the new divisor 301 and the new remainder 148, and apply the division lemma to get

301 = 148 x 2 + 5

We consider the new divisor 148 and the new remainder 5,and apply the division lemma to get

148 = 5 x 29 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 449 and 750 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(148,5) = HCF(301,148) = HCF(449,301) = HCF(750,449) .

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Frequently Asked Questions on HCF of 449, 750 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 449, 750?

Answer: HCF of 449, 750 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 449, 750 using Euclid's Algorithm?

Answer: For arbitrary numbers 449, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.