Highest Common Factor of 3640, 2259, 14289 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 3640, 2259, 14289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3640, 2259, 14289 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 3640, 2259, 14289 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 3640, 2259, 14289 is 1.

HCF(3640, 2259, 14289) = 1

HCF of 3640, 2259, 14289 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 3640, 2259, 14289 is 1.

Highest Common Factor of 3640,2259,14289 using Euclid's algorithm

Highest Common Factor of 3640,2259,14289 is 1

Step 1: Since 3640 > 2259, we apply the division lemma to 3640 and 2259, to get

3640 = 2259 x 1 + 1381

Step 2: Since the reminder 2259 ≠ 0, we apply division lemma to 1381 and 2259, to get

2259 = 1381 x 1 + 878

Step 3: We consider the new divisor 1381 and the new remainder 878, and apply the division lemma to get

1381 = 878 x 1 + 503

We consider the new divisor 878 and the new remainder 503,and apply the division lemma to get

878 = 503 x 1 + 375

We consider the new divisor 503 and the new remainder 375,and apply the division lemma to get

503 = 375 x 1 + 128

We consider the new divisor 375 and the new remainder 128,and apply the division lemma to get

375 = 128 x 2 + 119

We consider the new divisor 128 and the new remainder 119,and apply the division lemma to get

128 = 119 x 1 + 9

We consider the new divisor 119 and the new remainder 9,and apply the division lemma to get

119 = 9 x 13 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 3640 and 2259 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(119,9) = HCF(128,119) = HCF(375,128) = HCF(503,375) = HCF(878,503) = HCF(1381,878) = HCF(2259,1381) = HCF(3640,2259) .

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

Step 1: Since 14289 > 1, we apply the division lemma to 14289 and 1, to get

14289 = 1 x 14289 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14289 is 1

Notice that 1 = HCF(14289,1) .

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Frequently Asked Questions on HCF of 3640, 2259, 14289 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 3640, 2259, 14289?

Answer: HCF of 3640, 2259, 14289 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3640, 2259, 14289 using Euclid's Algorithm?

Answer: For arbitrary numbers 3640, 2259, 14289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.