Highest Common Factor of 1838, 1453 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 1838, 1453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1838, 1453 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 1838, 1453 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 1838, 1453 is 1.

HCF(1838, 1453) = 1

HCF of 1838, 1453 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 1838, 1453 is 1.

Highest Common Factor of 1838,1453 using Euclid's algorithm

Highest Common Factor of 1838,1453 is 1

Step 1: Since 1838 > 1453, we apply the division lemma to 1838 and 1453, to get

1838 = 1453 x 1 + 385

Step 2: Since the reminder 1453 ≠ 0, we apply division lemma to 385 and 1453, to get

1453 = 385 x 3 + 298

Step 3: We consider the new divisor 385 and the new remainder 298, and apply the division lemma to get

385 = 298 x 1 + 87

We consider the new divisor 298 and the new remainder 87,and apply the division lemma to get

298 = 87 x 3 + 37

We consider the new divisor 87 and the new remainder 37,and apply the division lemma to get

87 = 37 x 2 + 13

We consider the new divisor 37 and the new remainder 13,and apply the division lemma to get

37 = 13 x 2 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 1838 and 1453 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(37,13) = HCF(87,37) = HCF(298,87) = HCF(385,298) = HCF(1453,385) = HCF(1838,1453) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 1838, 1453 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 1838, 1453?

Answer: HCF of 1838, 1453 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1838, 1453 using Euclid's Algorithm?

Answer: For arbitrary numbers 1838, 1453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.