Highest Common Factor of 4036, 9425, 61985 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 4036, 9425, 61985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4036, 9425, 61985 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 4036, 9425, 61985 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 4036, 9425, 61985 is 1.

HCF(4036, 9425, 61985) = 1

HCF of 4036, 9425, 61985 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 4036, 9425, 61985 is 1.

Highest Common Factor of 4036,9425,61985 using Euclid's algorithm

Highest Common Factor of 4036,9425,61985 is 1

Step 1: Since 9425 > 4036, we apply the division lemma to 9425 and 4036, to get

9425 = 4036 x 2 + 1353

Step 2: Since the reminder 4036 ≠ 0, we apply division lemma to 1353 and 4036, to get

4036 = 1353 x 2 + 1330

Step 3: We consider the new divisor 1353 and the new remainder 1330, and apply the division lemma to get

1353 = 1330 x 1 + 23

We consider the new divisor 1330 and the new remainder 23,and apply the division lemma to get

1330 = 23 x 57 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 4036 and 9425 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(1330,23) = HCF(1353,1330) = HCF(4036,1353) = HCF(9425,4036) .

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

Step 1: Since 61985 > 1, we apply the division lemma to 61985 and 1, to get

61985 = 1 x 61985 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61985 is 1

Notice that 1 = HCF(61985,1) .

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Frequently Asked Questions on HCF of 4036, 9425, 61985 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 4036, 9425, 61985?

Answer: HCF of 4036, 9425, 61985 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4036, 9425, 61985 using Euclid's Algorithm?

Answer: For arbitrary numbers 4036, 9425, 61985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.