Highest Common Factor of 2895, 8401, 90424 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 2895, 8401, 90424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2895, 8401, 90424 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 2895, 8401, 90424 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 2895, 8401, 90424 is 1.

HCF(2895, 8401, 90424) = 1

HCF of 2895, 8401, 90424 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 2895, 8401, 90424 is 1.

Highest Common Factor of 2895,8401,90424 using Euclid's algorithm

Highest Common Factor of 2895,8401,90424 is 1

Step 1: Since 8401 > 2895, we apply the division lemma to 8401 and 2895, to get

8401 = 2895 x 2 + 2611

Step 2: Since the reminder 2895 ≠ 0, we apply division lemma to 2611 and 2895, to get

2895 = 2611 x 1 + 284

Step 3: We consider the new divisor 2611 and the new remainder 284, and apply the division lemma to get

2611 = 284 x 9 + 55

We consider the new divisor 284 and the new remainder 55,and apply the division lemma to get

284 = 55 x 5 + 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 2895 and 8401 is 1

Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(284,55) = HCF(2611,284) = HCF(2895,2611) = HCF(8401,2895) .

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

Step 1: Since 90424 > 1, we apply the division lemma to 90424 and 1, to get

90424 = 1 x 90424 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90424 is 1

Notice that 1 = HCF(90424,1) .

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Frequently Asked Questions on HCF of 2895, 8401, 90424 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 2895, 8401, 90424?

Answer: HCF of 2895, 8401, 90424 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2895, 8401, 90424 using Euclid's Algorithm?

Answer: For arbitrary numbers 2895, 8401, 90424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.