Highest Common Factor of 525, 273, 302 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 525, 273, 302 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 525, 273, 302 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 525, 273, 302 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 525, 273, 302 is 1.

HCF(525, 273, 302) = 1

HCF of 525, 273, 302 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 525, 273, 302 is 1.

Highest Common Factor of 525,273,302 using Euclid's algorithm

Highest Common Factor of 525,273,302 is 1

Step 1: Since 525 > 273, we apply the division lemma to 525 and 273, to get

525 = 273 x 1 + 252

Step 2: Since the reminder 273 ≠ 0, we apply division lemma to 252 and 273, to get

273 = 252 x 1 + 21

Step 3: We consider the new divisor 252 and the new remainder 21, and apply the division lemma to get

252 = 21 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 525 and 273 is 21

Notice that 21 = HCF(252,21) = HCF(273,252) = HCF(525,273) .

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

Step 1: Since 302 > 21, we apply the division lemma to 302 and 21, to get

302 = 21 x 14 + 8

Step 2: Since the reminder 21 ≠ 0, we apply division lemma to 8 and 21, to get

21 = 8 x 2 + 5

Step 3: We consider the new divisor 8 and the new remainder 5, and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 21 and 302 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(302,21) .

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Frequently Asked Questions on HCF of 525, 273, 302 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 525, 273, 302?

Answer: HCF of 525, 273, 302 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 525, 273, 302 using Euclid's Algorithm?

Answer: For arbitrary numbers 525, 273, 302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.