Highest Common Factor of 1634, 1979, 36010 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 1634, 1979, 36010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1634, 1979, 36010 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 1634, 1979, 36010 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 1634, 1979, 36010 is 1.

HCF(1634, 1979, 36010) = 1

HCF of 1634, 1979, 36010 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 1634, 1979, 36010 is 1.

Highest Common Factor of 1634,1979,36010 using Euclid's algorithm

Highest Common Factor of 1634,1979,36010 is 1

Step 1: Since 1979 > 1634, we apply the division lemma to 1979 and 1634, to get

1979 = 1634 x 1 + 345

Step 2: Since the reminder 1634 ≠ 0, we apply division lemma to 345 and 1634, to get

1634 = 345 x 4 + 254

Step 3: We consider the new divisor 345 and the new remainder 254, and apply the division lemma to get

345 = 254 x 1 + 91

We consider the new divisor 254 and the new remainder 91,and apply the division lemma to get

254 = 91 x 2 + 72

We consider the new divisor 91 and the new remainder 72,and apply the division lemma to get

91 = 72 x 1 + 19

We consider the new divisor 72 and the new remainder 19,and apply the division lemma to get

72 = 19 x 3 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 1634 and 1979 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(72,19) = HCF(91,72) = HCF(254,91) = HCF(345,254) = HCF(1634,345) = HCF(1979,1634) .

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

Step 1: Since 36010 > 1, we apply the division lemma to 36010 and 1, to get

36010 = 1 x 36010 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36010 is 1

Notice that 1 = HCF(36010,1) .

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Frequently Asked Questions on HCF of 1634, 1979, 36010 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 1634, 1979, 36010?

Answer: HCF of 1634, 1979, 36010 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1634, 1979, 36010 using Euclid's Algorithm?

Answer: For arbitrary numbers 1634, 1979, 36010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.