Highest Common Factor of 8038, 3437, 97845 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 8038, 3437, 97845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8038, 3437, 97845 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 8038, 3437, 97845 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 8038, 3437, 97845 is 1.

HCF(8038, 3437, 97845) = 1

HCF of 8038, 3437, 97845 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 8038, 3437, 97845 is 1.

Highest Common Factor of 8038,3437,97845 using Euclid's algorithm

Highest Common Factor of 8038,3437,97845 is 1

Step 1: Since 8038 > 3437, we apply the division lemma to 8038 and 3437, to get

8038 = 3437 x 2 + 1164

Step 2: Since the reminder 3437 ≠ 0, we apply division lemma to 1164 and 3437, to get

3437 = 1164 x 2 + 1109

Step 3: We consider the new divisor 1164 and the new remainder 1109, and apply the division lemma to get

1164 = 1109 x 1 + 55

We consider the new divisor 1109 and the new remainder 55,and apply the division lemma to get

1109 = 55 x 20 + 9

We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get

55 = 9 x 6 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8038 and 3437 is 1

Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(1109,55) = HCF(1164,1109) = HCF(3437,1164) = HCF(8038,3437) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 97845 > 1, we apply the division lemma to 97845 and 1, to get

97845 = 1 x 97845 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97845 is 1

Notice that 1 = HCF(97845,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8038, 3437, 97845 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 8038, 3437, 97845?

Answer: HCF of 8038, 3437, 97845 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8038, 3437, 97845 using Euclid's Algorithm?

Answer: For arbitrary numbers 8038, 3437, 97845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.