Highest Common Factor of 9057, 6499 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 9057, 6499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9057, 6499 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 9057, 6499 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 9057, 6499 is 1.

HCF(9057, 6499) = 1

HCF of 9057, 6499 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 9057, 6499 is 1.

Highest Common Factor of 9057,6499 using Euclid's algorithm

Highest Common Factor of 9057,6499 is 1

Step 1: Since 9057 > 6499, we apply the division lemma to 9057 and 6499, to get

9057 = 6499 x 1 + 2558

Step 2: Since the reminder 6499 ≠ 0, we apply division lemma to 2558 and 6499, to get

6499 = 2558 x 2 + 1383

Step 3: We consider the new divisor 2558 and the new remainder 1383, and apply the division lemma to get

2558 = 1383 x 1 + 1175

We consider the new divisor 1383 and the new remainder 1175,and apply the division lemma to get

1383 = 1175 x 1 + 208

We consider the new divisor 1175 and the new remainder 208,and apply the division lemma to get

1175 = 208 x 5 + 135

We consider the new divisor 208 and the new remainder 135,and apply the division lemma to get

208 = 135 x 1 + 73

We consider the new divisor 135 and the new remainder 73,and apply the division lemma to get

135 = 73 x 1 + 62

We consider the new divisor 73 and the new remainder 62,and apply the division lemma to get

73 = 62 x 1 + 11

We consider the new divisor 62 and the new remainder 11,and apply the division lemma to get

62 = 11 x 5 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 9057 and 6499 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(62,11) = HCF(73,62) = HCF(135,73) = HCF(208,135) = HCF(1175,208) = HCF(1383,1175) = HCF(2558,1383) = HCF(6499,2558) = HCF(9057,6499) .

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Frequently Asked Questions on HCF of 9057, 6499 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 9057, 6499?

Answer: HCF of 9057, 6499 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9057, 6499 using Euclid's Algorithm?

Answer: For arbitrary numbers 9057, 6499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.