Highest Common Factor of 6497, 9045 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 6497, 9045 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6497, 9045 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 6497, 9045 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 6497, 9045 is 1.

HCF(6497, 9045) = 1

HCF of 6497, 9045 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 6497, 9045 is 1.

Highest Common Factor of 6497,9045 using Euclid's algorithm

Highest Common Factor of 6497,9045 is 1

Step 1: Since 9045 > 6497, we apply the division lemma to 9045 and 6497, to get

9045 = 6497 x 1 + 2548

Step 2: Since the reminder 6497 ≠ 0, we apply division lemma to 2548 and 6497, to get

6497 = 2548 x 2 + 1401

Step 3: We consider the new divisor 2548 and the new remainder 1401, and apply the division lemma to get

2548 = 1401 x 1 + 1147

We consider the new divisor 1401 and the new remainder 1147,and apply the division lemma to get

1401 = 1147 x 1 + 254

We consider the new divisor 1147 and the new remainder 254,and apply the division lemma to get

1147 = 254 x 4 + 131

We consider the new divisor 254 and the new remainder 131,and apply the division lemma to get

254 = 131 x 1 + 123

We consider the new divisor 131 and the new remainder 123,and apply the division lemma to get

131 = 123 x 1 + 8

We consider the new divisor 123 and the new remainder 8,and apply the division lemma to get

123 = 8 x 15 + 3

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

8 = 3 x 2 + 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 6497 and 9045 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(123,8) = HCF(131,123) = HCF(254,131) = HCF(1147,254) = HCF(1401,1147) = HCF(2548,1401) = HCF(6497,2548) = HCF(9045,6497) .

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Frequently Asked Questions on HCF of 6497, 9045 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 6497, 9045?

Answer: HCF of 6497, 9045 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6497, 9045 using Euclid's Algorithm?

Answer: For arbitrary numbers 6497, 9045 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.