Highest Common Factor of 903, 528, 848 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, 528, 848 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 903, 528, 848 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, 528, 848 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, 528, 848 is 1.

HCF(903, 528, 848) = 1

HCF of 903, 528, 848 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, 528, 848 is 1.

Highest Common Factor of 903,528,848 using Euclid's algorithm

Highest Common Factor of 903,528,848 is 1

Step 1: Since 903 > 528, we apply the division lemma to 903 and 528, to get

903 = 528 x 1 + 375

Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 375 and 528, to get

528 = 375 x 1 + 153

Step 3: We consider the new divisor 375 and the new remainder 153, and apply the division lemma to get

375 = 153 x 2 + 69

We consider the new divisor 153 and the new remainder 69,and apply the division lemma to get

153 = 69 x 2 + 15

We consider the new divisor 69 and the new remainder 15,and apply the division lemma to get

69 = 15 x 4 + 9

We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get

15 = 9 x 1 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 903 and 528 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(69,15) = HCF(153,69) = HCF(375,153) = HCF(528,375) = HCF(903,528) .

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

Step 1: Since 848 > 3, we apply the division lemma to 848 and 3, to get

848 = 3 x 282 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 848 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(848,3) .

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Frequently Asked Questions on HCF of 903, 528, 848 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, 528, 848?

Answer: HCF of 903, 528, 848 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 903, 528, 848 using Euclid's Algorithm?

Answer: For arbitrary numbers 903, 528, 848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.