Highest Common Factor of 1496, 2025 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 1496, 2025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1496, 2025 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 1496, 2025 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 1496, 2025 is 1.

HCF(1496, 2025) = 1

HCF of 1496, 2025 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 1496, 2025 is 1.

Highest Common Factor of 1496,2025 using Euclid's algorithm

Highest Common Factor of 1496,2025 is 1

Step 1: Since 2025 > 1496, we apply the division lemma to 2025 and 1496, to get

2025 = 1496 x 1 + 529

Step 2: Since the reminder 1496 ≠ 0, we apply division lemma to 529 and 1496, to get

1496 = 529 x 2 + 438

Step 3: We consider the new divisor 529 and the new remainder 438, and apply the division lemma to get

529 = 438 x 1 + 91

We consider the new divisor 438 and the new remainder 91,and apply the division lemma to get

438 = 91 x 4 + 74

We consider the new divisor 91 and the new remainder 74,and apply the division lemma to get

91 = 74 x 1 + 17

We consider the new divisor 74 and the new remainder 17,and apply the division lemma to get

74 = 17 x 4 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1496 and 2025 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(74,17) = HCF(91,74) = HCF(438,91) = HCF(529,438) = HCF(1496,529) = HCF(2025,1496) .

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Frequently Asked Questions on HCF of 1496, 2025 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 1496, 2025?

Answer: HCF of 1496, 2025 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1496, 2025 using Euclid's Algorithm?

Answer: For arbitrary numbers 1496, 2025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.