Highest Common Factor of 4027, 9776, 26257 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 4027, 9776, 26257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4027, 9776, 26257 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 4027, 9776, 26257 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 4027, 9776, 26257 is 1.

HCF(4027, 9776, 26257) = 1

HCF of 4027, 9776, 26257 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 4027, 9776, 26257 is 1.

Highest Common Factor of 4027,9776,26257 using Euclid's algorithm

Highest Common Factor of 4027,9776,26257 is 1

Step 1: Since 9776 > 4027, we apply the division lemma to 9776 and 4027, to get

9776 = 4027 x 2 + 1722

Step 2: Since the reminder 4027 ≠ 0, we apply division lemma to 1722 and 4027, to get

4027 = 1722 x 2 + 583

Step 3: We consider the new divisor 1722 and the new remainder 583, and apply the division lemma to get

1722 = 583 x 2 + 556

We consider the new divisor 583 and the new remainder 556,and apply the division lemma to get

583 = 556 x 1 + 27

We consider the new divisor 556 and the new remainder 27,and apply the division lemma to get

556 = 27 x 20 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4027 and 9776 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(556,27) = HCF(583,556) = HCF(1722,583) = HCF(4027,1722) = HCF(9776,4027) .

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

Step 1: Since 26257 > 1, we apply the division lemma to 26257 and 1, to get

26257 = 1 x 26257 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26257 is 1

Notice that 1 = HCF(26257,1) .

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Frequently Asked Questions on HCF of 4027, 9776, 26257 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 4027, 9776, 26257?

Answer: HCF of 4027, 9776, 26257 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4027, 9776, 26257 using Euclid's Algorithm?

Answer: For arbitrary numbers 4027, 9776, 26257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.