Highest Common Factor of 450, 625, 834 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 450, 625, 834 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 450, 625, 834 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 450, 625, 834 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 450, 625, 834 is 1.

HCF(450, 625, 834) = 1

HCF of 450, 625, 834 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 450, 625, 834 is 1.

Highest Common Factor of 450,625,834 using Euclid's algorithm

Highest Common Factor of 450,625,834 is 1

Step 1: Since 625 > 450, we apply the division lemma to 625 and 450, to get

625 = 450 x 1 + 175

Step 2: Since the reminder 450 ≠ 0, we apply division lemma to 175 and 450, to get

450 = 175 x 2 + 100

Step 3: We consider the new divisor 175 and the new remainder 100, and apply the division lemma to get

175 = 100 x 1 + 75

We consider the new divisor 100 and the new remainder 75,and apply the division lemma to get

100 = 75 x 1 + 25

We consider the new divisor 75 and the new remainder 25,and apply the division lemma to get

75 = 25 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 450 and 625 is 25

Notice that 25 = HCF(75,25) = HCF(100,75) = HCF(175,100) = HCF(450,175) = HCF(625,450) .

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

Step 1: Since 834 > 25, we apply the division lemma to 834 and 25, to get

834 = 25 x 33 + 9

Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 9 and 25, to get

25 = 9 x 2 + 7

Step 3: We consider the new divisor 9 and the new remainder 7, and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 25 and 834 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(834,25) .

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Frequently Asked Questions on HCF of 450, 625, 834 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 450, 625, 834?

Answer: HCF of 450, 625, 834 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 450, 625, 834 using Euclid's Algorithm?

Answer: For arbitrary numbers 450, 625, 834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.