Highest Common Factor of 1601, 3708, 19110 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 1601, 3708, 19110 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1601, 3708, 19110 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 1601, 3708, 19110 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 1601, 3708, 19110 is 1.

HCF(1601, 3708, 19110) = 1

HCF of 1601, 3708, 19110 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 1601, 3708, 19110 is 1.

Highest Common Factor of 1601,3708,19110 using Euclid's algorithm

Highest Common Factor of 1601,3708,19110 is 1

Step 1: Since 3708 > 1601, we apply the division lemma to 3708 and 1601, to get

3708 = 1601 x 2 + 506

Step 2: Since the reminder 1601 ≠ 0, we apply division lemma to 506 and 1601, to get

1601 = 506 x 3 + 83

Step 3: We consider the new divisor 506 and the new remainder 83, and apply the division lemma to get

506 = 83 x 6 + 8

We consider the new divisor 83 and the new remainder 8,and apply the division lemma to get

83 = 8 x 10 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 1601 and 3708 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(83,8) = HCF(506,83) = HCF(1601,506) = HCF(3708,1601) .

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

Step 1: Since 19110 > 1, we apply the division lemma to 19110 and 1, to get

19110 = 1 x 19110 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19110 is 1

Notice that 1 = HCF(19110,1) .

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Frequently Asked Questions on HCF of 1601, 3708, 19110 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 1601, 3708, 19110?

Answer: HCF of 1601, 3708, 19110 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1601, 3708, 19110 using Euclid's Algorithm?

Answer: For arbitrary numbers 1601, 3708, 19110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.