Highest Common Factor of 1439, 6919, 54489 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 1439, 6919, 54489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1439, 6919, 54489 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 1439, 6919, 54489 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 1439, 6919, 54489 is 1.

HCF(1439, 6919, 54489) = 1

HCF of 1439, 6919, 54489 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 1439, 6919, 54489 is 1.

Highest Common Factor of 1439,6919,54489 using Euclid's algorithm

Highest Common Factor of 1439,6919,54489 is 1

Step 1: Since 6919 > 1439, we apply the division lemma to 6919 and 1439, to get

6919 = 1439 x 4 + 1163

Step 2: Since the reminder 1439 ≠ 0, we apply division lemma to 1163 and 1439, to get

1439 = 1163 x 1 + 276

Step 3: We consider the new divisor 1163 and the new remainder 276, and apply the division lemma to get

1163 = 276 x 4 + 59

We consider the new divisor 276 and the new remainder 59,and apply the division lemma to get

276 = 59 x 4 + 40

We consider the new divisor 59 and the new remainder 40,and apply the division lemma to get

59 = 40 x 1 + 19

We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get

40 = 19 x 2 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 1439 and 6919 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(59,40) = HCF(276,59) = HCF(1163,276) = HCF(1439,1163) = HCF(6919,1439) .

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

Step 1: Since 54489 > 1, we apply the division lemma to 54489 and 1, to get

54489 = 1 x 54489 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54489 is 1

Notice that 1 = HCF(54489,1) .

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Frequently Asked Questions on HCF of 1439, 6919, 54489 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 1439, 6919, 54489?

Answer: HCF of 1439, 6919, 54489 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1439, 6919, 54489 using Euclid's Algorithm?

Answer: For arbitrary numbers 1439, 6919, 54489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.