Highest Common Factor of 1575, 9026, 16761 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 1575, 9026, 16761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1575, 9026, 16761 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 1575, 9026, 16761 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 1575, 9026, 16761 is 1.

HCF(1575, 9026, 16761) = 1

HCF of 1575, 9026, 16761 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 1575, 9026, 16761 is 1.

Highest Common Factor of 1575,9026,16761 using Euclid's algorithm

Highest Common Factor of 1575,9026,16761 is 1

Step 1: Since 9026 > 1575, we apply the division lemma to 9026 and 1575, to get

9026 = 1575 x 5 + 1151

Step 2: Since the reminder 1575 ≠ 0, we apply division lemma to 1151 and 1575, to get

1575 = 1151 x 1 + 424

Step 3: We consider the new divisor 1151 and the new remainder 424, and apply the division lemma to get

1151 = 424 x 2 + 303

We consider the new divisor 424 and the new remainder 303,and apply the division lemma to get

424 = 303 x 1 + 121

We consider the new divisor 303 and the new remainder 121,and apply the division lemma to get

303 = 121 x 2 + 61

We consider the new divisor 121 and the new remainder 61,and apply the division lemma to get

121 = 61 x 1 + 60

We consider the new divisor 61 and the new remainder 60,and apply the division lemma to get

61 = 60 x 1 + 1

We consider the new divisor 60 and the new remainder 1,and apply the division lemma to get

60 = 1 x 60 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1575 and 9026 is 1

Notice that 1 = HCF(60,1) = HCF(61,60) = HCF(121,61) = HCF(303,121) = HCF(424,303) = HCF(1151,424) = HCF(1575,1151) = HCF(9026,1575) .

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

Step 1: Since 16761 > 1, we apply the division lemma to 16761 and 1, to get

16761 = 1 x 16761 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 16761 is 1

Notice that 1 = HCF(16761,1) .

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Frequently Asked Questions on HCF of 1575, 9026, 16761 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 1575, 9026, 16761?

Answer: HCF of 1575, 9026, 16761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1575, 9026, 16761 using Euclid's Algorithm?

Answer: For arbitrary numbers 1575, 9026, 16761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.