Highest Common Factor of 8025, 2458 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 8025, 2458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8025, 2458 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 8025, 2458 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 8025, 2458 is 1.

HCF(8025, 2458) = 1

HCF of 8025, 2458 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8025, 2458 is 1.

Highest Common Factor of 8025,2458 using Euclid's algorithm

Highest Common Factor of 8025,2458 is 1

Step 1: Since 8025 > 2458, we apply the division lemma to 8025 and 2458, to get

8025 = 2458 x 3 + 651

Step 2: Since the reminder 2458 ≠ 0, we apply division lemma to 651 and 2458, to get

2458 = 651 x 3 + 505

Step 3: We consider the new divisor 651 and the new remainder 505, and apply the division lemma to get

651 = 505 x 1 + 146

We consider the new divisor 505 and the new remainder 146,and apply the division lemma to get

505 = 146 x 3 + 67

We consider the new divisor 146 and the new remainder 67,and apply the division lemma to get

146 = 67 x 2 + 12

We consider the new divisor 67 and the new remainder 12,and apply the division lemma to get

67 = 12 x 5 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 8025 and 2458 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(67,12) = HCF(146,67) = HCF(505,146) = HCF(651,505) = HCF(2458,651) = HCF(8025,2458) .

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Frequently Asked Questions on HCF of 8025, 2458 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 8025, 2458?

Answer: HCF of 8025, 2458 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8025, 2458 using Euclid's Algorithm?

Answer: For arbitrary numbers 8025, 2458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.