Highest Common Factor of 903, 526, 12 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 903, 526, 12 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 526, 12 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 903, 526, 12 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 903, 526, 12 is 1.

HCF(903, 526, 12) = 1

HCF of 903, 526, 12 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 903, 526, 12 is 1.

Highest Common Factor of 903,526,12 using Euclid's algorithm

Highest Common Factor of 903,526,12 is 1

Step 1: Since 903 > 526, we apply the division lemma to 903 and 526, to get

903 = 526 x 1 + 377

Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 377 and 526, to get

526 = 377 x 1 + 149

Step 3: We consider the new divisor 377 and the new remainder 149, and apply the division lemma to get

377 = 149 x 2 + 79

We consider the new divisor 149 and the new remainder 79,and apply the division lemma to get

149 = 79 x 1 + 70

We consider the new divisor 79 and the new remainder 70,and apply the division lemma to get

79 = 70 x 1 + 9

We consider the new divisor 70 and the new remainder 9,and apply the division lemma to get

70 = 9 x 7 + 7

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 903 and 526 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(70,9) = HCF(79,70) = HCF(149,79) = HCF(377,149) = HCF(526,377) = HCF(903,526) .

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

Step 1: Since 12 > 1, we apply the division lemma to 12 and 1, to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12 is 1

Notice that 1 = HCF(12,1) .

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Frequently Asked Questions on HCF of 903, 526, 12 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 903, 526, 12?

Answer: HCF of 903, 526, 12 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 526, 12 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 526, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.