Highest Common Factor of 912, 603, 265, 96 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 912, 603, 265, 96 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 912, 603, 265, 96 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 912, 603, 265, 96 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 912, 603, 265, 96 is 1.

HCF(912, 603, 265, 96) = 1

HCF of 912, 603, 265, 96 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 912, 603, 265, 96 is 1.

Highest Common Factor of 912,603,265,96 using Euclid's algorithm

Highest Common Factor of 912,603,265,96 is 1

Step 1: Since 912 > 603, we apply the division lemma to 912 and 603, to get

912 = 603 x 1 + 309

Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 309 and 603, to get

603 = 309 x 1 + 294

Step 3: We consider the new divisor 309 and the new remainder 294, and apply the division lemma to get

309 = 294 x 1 + 15

We consider the new divisor 294 and the new remainder 15,and apply the division lemma to get

294 = 15 x 19 + 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 912 and 603 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(294,15) = HCF(309,294) = HCF(603,309) = HCF(912,603) .

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

Step 1: Since 265 > 3, we apply the division lemma to 265 and 3, to get

265 = 3 x 88 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 265 is 1

Notice that 1 = HCF(3,1) = HCF(265,3) .

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

Step 1: Since 96 > 1, we apply the division lemma to 96 and 1, to get

96 = 1 x 96 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96 is 1

Notice that 1 = HCF(96,1) .

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Frequently Asked Questions on HCF of 912, 603, 265, 96 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 912, 603, 265, 96?

Answer: HCF of 912, 603, 265, 96 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 912, 603, 265, 96 using Euclid's Algorithm?

Answer: For arbitrary numbers 912, 603, 265, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.