Highest Common Factor of 3660, 1126, 26915 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 3660, 1126, 26915 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3660, 1126, 26915 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 3660, 1126, 26915 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 3660, 1126, 26915 is 1.

HCF(3660, 1126, 26915) = 1

HCF of 3660, 1126, 26915 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 3660, 1126, 26915 is 1.

Highest Common Factor of 3660,1126,26915 using Euclid's algorithm

Highest Common Factor of 3660,1126,26915 is 1

Step 1: Since 3660 > 1126, we apply the division lemma to 3660 and 1126, to get

3660 = 1126 x 3 + 282

Step 2: Since the reminder 1126 ≠ 0, we apply division lemma to 282 and 1126, to get

1126 = 282 x 3 + 280

Step 3: We consider the new divisor 282 and the new remainder 280, and apply the division lemma to get

282 = 280 x 1 + 2

We consider the new divisor 280 and the new remainder 2, and apply the division lemma to get

280 = 2 x 140 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3660 and 1126 is 2

Notice that 2 = HCF(280,2) = HCF(282,280) = HCF(1126,282) = HCF(3660,1126) .

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

Step 1: Since 26915 > 2, we apply the division lemma to 26915 and 2, to get

26915 = 2 x 13457 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 26915 is 1

Notice that 1 = HCF(2,1) = HCF(26915,2) .

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Frequently Asked Questions on HCF of 3660, 1126, 26915 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 3660, 1126, 26915?

Answer: HCF of 3660, 1126, 26915 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3660, 1126, 26915 using Euclid's Algorithm?

Answer: For arbitrary numbers 3660, 1126, 26915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.