Highest Common Factor of 6453, 2499 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 6453, 2499 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 6453, 2499 is 3 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 6453, 2499 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 6453, 2499 is 3.

HCF(6453, 2499) = 3

HCF of 6453, 2499 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 6453, 2499 is 3.

Highest Common Factor of 6453,2499 using Euclid's algorithm

Highest Common Factor of 6453,2499 is 3

Step 1: Since 6453 > 2499, we apply the division lemma to 6453 and 2499, to get

6453 = 2499 x 2 + 1455

Step 2: Since the reminder 2499 ≠ 0, we apply division lemma to 1455 and 2499, to get

2499 = 1455 x 1 + 1044

Step 3: We consider the new divisor 1455 and the new remainder 1044, and apply the division lemma to get

1455 = 1044 x 1 + 411

We consider the new divisor 1044 and the new remainder 411,and apply the division lemma to get

1044 = 411 x 2 + 222

We consider the new divisor 411 and the new remainder 222,and apply the division lemma to get

411 = 222 x 1 + 189

We consider the new divisor 222 and the new remainder 189,and apply the division lemma to get

222 = 189 x 1 + 33

We consider the new divisor 189 and the new remainder 33,and apply the division lemma to get

189 = 33 x 5 + 24

We consider the new divisor 33 and the new remainder 24,and apply the division lemma to get

33 = 24 x 1 + 9

We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get

24 = 9 x 2 + 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 6453 and 2499 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(33,24) = HCF(189,33) = HCF(222,189) = HCF(411,222) = HCF(1044,411) = HCF(1455,1044) = HCF(2499,1455) = HCF(6453,2499) .

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Frequently Asked Questions on HCF of 6453, 2499 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 6453, 2499?

Answer: HCF of 6453, 2499 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6453, 2499 using Euclid's Algorithm?

Answer: For arbitrary numbers 6453, 2499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.