Highest Common Factor of 2559, 3748, 90895 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 2559, 3748, 90895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2559, 3748, 90895 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 2559, 3748, 90895 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 2559, 3748, 90895 is 1.

HCF(2559, 3748, 90895) = 1

HCF of 2559, 3748, 90895 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 2559, 3748, 90895 is 1.

Highest Common Factor of 2559,3748,90895 using Euclid's algorithm

Highest Common Factor of 2559,3748,90895 is 1

Step 1: Since 3748 > 2559, we apply the division lemma to 3748 and 2559, to get

3748 = 2559 x 1 + 1189

Step 2: Since the reminder 2559 ≠ 0, we apply division lemma to 1189 and 2559, to get

2559 = 1189 x 2 + 181

Step 3: We consider the new divisor 1189 and the new remainder 181, and apply the division lemma to get

1189 = 181 x 6 + 103

We consider the new divisor 181 and the new remainder 103,and apply the division lemma to get

181 = 103 x 1 + 78

We consider the new divisor 103 and the new remainder 78,and apply the division lemma to get

103 = 78 x 1 + 25

We consider the new divisor 78 and the new remainder 25,and apply the division lemma to get

78 = 25 x 3 + 3

We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get

25 = 3 x 8 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2559 and 3748 is 1

Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(78,25) = HCF(103,78) = HCF(181,103) = HCF(1189,181) = HCF(2559,1189) = HCF(3748,2559) .

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

Step 1: Since 90895 > 1, we apply the division lemma to 90895 and 1, to get

90895 = 1 x 90895 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90895 is 1

Notice that 1 = HCF(90895,1) .

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Frequently Asked Questions on HCF of 2559, 3748, 90895 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 2559, 3748, 90895?

Answer: HCF of 2559, 3748, 90895 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2559, 3748, 90895 using Euclid's Algorithm?

Answer: For arbitrary numbers 2559, 3748, 90895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.