Highest Common Factor of 1260, 3707, 28780 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 1260, 3707, 28780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1260, 3707, 28780 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 1260, 3707, 28780 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 1260, 3707, 28780 is 1.

HCF(1260, 3707, 28780) = 1

HCF of 1260, 3707, 28780 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 1260, 3707, 28780 is 1.

Highest Common Factor of 1260,3707,28780 using Euclid's algorithm

Highest Common Factor of 1260,3707,28780 is 1

Step 1: Since 3707 > 1260, we apply the division lemma to 3707 and 1260, to get

3707 = 1260 x 2 + 1187

Step 2: Since the reminder 1260 ≠ 0, we apply division lemma to 1187 and 1260, to get

1260 = 1187 x 1 + 73

Step 3: We consider the new divisor 1187 and the new remainder 73, and apply the division lemma to get

1187 = 73 x 16 + 19

We consider the new divisor 73 and the new remainder 19,and apply the division lemma to get

73 = 19 x 3 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 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 1260 and 3707 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(73,19) = HCF(1187,73) = HCF(1260,1187) = HCF(3707,1260) .

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

Step 1: Since 28780 > 1, we apply the division lemma to 28780 and 1, to get

28780 = 1 x 28780 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28780 is 1

Notice that 1 = HCF(28780,1) .

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Frequently Asked Questions on HCF of 1260, 3707, 28780 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 1260, 3707, 28780?

Answer: HCF of 1260, 3707, 28780 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1260, 3707, 28780 using Euclid's Algorithm?

Answer: For arbitrary numbers 1260, 3707, 28780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.