Highest Common Factor of 446, 692, 903 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 446, 692, 903 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 446, 692, 903 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 446, 692, 903 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 446, 692, 903 is 1.

HCF(446, 692, 903) = 1

HCF of 446, 692, 903 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 446, 692, 903 is 1.

Highest Common Factor of 446,692,903 using Euclid's algorithm

Highest Common Factor of 446,692,903 is 1

Step 1: Since 692 > 446, we apply the division lemma to 692 and 446, to get

692 = 446 x 1 + 246

Step 2: Since the reminder 446 ≠ 0, we apply division lemma to 246 and 446, to get

446 = 246 x 1 + 200

Step 3: We consider the new divisor 246 and the new remainder 200, and apply the division lemma to get

246 = 200 x 1 + 46

We consider the new divisor 200 and the new remainder 46,and apply the division lemma to get

200 = 46 x 4 + 16

We consider the new divisor 46 and the new remainder 16,and apply the division lemma to get

46 = 16 x 2 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 446 and 692 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(46,16) = HCF(200,46) = HCF(246,200) = HCF(446,246) = HCF(692,446) .

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

Step 1: Since 903 > 2, we apply the division lemma to 903 and 2, to get

903 = 2 x 451 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 903 is 1

Notice that 1 = HCF(2,1) = HCF(903,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 446, 692, 903 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 446, 692, 903?

Answer: HCF of 446, 692, 903 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 446, 692, 903 using Euclid's Algorithm?

Answer: For arbitrary numbers 446, 692, 903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.