Highest Common Factor of 2863, 2504, 41085 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 2863, 2504, 41085 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2863, 2504, 41085 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 2863, 2504, 41085 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 2863, 2504, 41085 is 1.

HCF(2863, 2504, 41085) = 1

HCF of 2863, 2504, 41085 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 2863, 2504, 41085 is 1.

Highest Common Factor of 2863,2504,41085 using Euclid's algorithm

Highest Common Factor of 2863,2504,41085 is 1

Step 1: Since 2863 > 2504, we apply the division lemma to 2863 and 2504, to get

2863 = 2504 x 1 + 359

Step 2: Since the reminder 2504 ≠ 0, we apply division lemma to 359 and 2504, to get

2504 = 359 x 6 + 350

Step 3: We consider the new divisor 359 and the new remainder 350, and apply the division lemma to get

359 = 350 x 1 + 9

We consider the new divisor 350 and the new remainder 9,and apply the division lemma to get

350 = 9 x 38 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2863 and 2504 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(350,9) = HCF(359,350) = HCF(2504,359) = HCF(2863,2504) .

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

Step 1: Since 41085 > 1, we apply the division lemma to 41085 and 1, to get

41085 = 1 x 41085 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41085 is 1

Notice that 1 = HCF(41085,1) .

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Frequently Asked Questions on HCF of 2863, 2504, 41085 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 2863, 2504, 41085?

Answer: HCF of 2863, 2504, 41085 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2863, 2504, 41085 using Euclid's Algorithm?

Answer: For arbitrary numbers 2863, 2504, 41085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.