Highest Common Factor of 7738, 2059, 25181 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 7738, 2059, 25181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7738, 2059, 25181 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 7738, 2059, 25181 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 7738, 2059, 25181 is 1.

HCF(7738, 2059, 25181) = 1

HCF of 7738, 2059, 25181 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 7738, 2059, 25181 is 1.

Highest Common Factor of 7738,2059,25181 using Euclid's algorithm

Highest Common Factor of 7738,2059,25181 is 1

Step 1: Since 7738 > 2059, we apply the division lemma to 7738 and 2059, to get

7738 = 2059 x 3 + 1561

Step 2: Since the reminder 2059 ≠ 0, we apply division lemma to 1561 and 2059, to get

2059 = 1561 x 1 + 498

Step 3: We consider the new divisor 1561 and the new remainder 498, and apply the division lemma to get

1561 = 498 x 3 + 67

We consider the new divisor 498 and the new remainder 67,and apply the division lemma to get

498 = 67 x 7 + 29

We consider the new divisor 67 and the new remainder 29,and apply the division lemma to get

67 = 29 x 2 + 9

We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get

29 = 9 x 3 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7738 and 2059 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(67,29) = HCF(498,67) = HCF(1561,498) = HCF(2059,1561) = HCF(7738,2059) .

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

Step 1: Since 25181 > 1, we apply the division lemma to 25181 and 1, to get

25181 = 1 x 25181 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25181 is 1

Notice that 1 = HCF(25181,1) .

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Frequently Asked Questions on HCF of 7738, 2059, 25181 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 7738, 2059, 25181?

Answer: HCF of 7738, 2059, 25181 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7738, 2059, 25181 using Euclid's Algorithm?

Answer: For arbitrary numbers 7738, 2059, 25181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.