Highest Common Factor of 5787, 1879, 54008 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 5787, 1879, 54008 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5787, 1879, 54008 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 5787, 1879, 54008 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 5787, 1879, 54008 is 1.

HCF(5787, 1879, 54008) = 1

HCF of 5787, 1879, 54008 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 5787, 1879, 54008 is 1.

Highest Common Factor of 5787,1879,54008 using Euclid's algorithm

Highest Common Factor of 5787,1879,54008 is 1

Step 1: Since 5787 > 1879, we apply the division lemma to 5787 and 1879, to get

5787 = 1879 x 3 + 150

Step 2: Since the reminder 1879 ≠ 0, we apply division lemma to 150 and 1879, to get

1879 = 150 x 12 + 79

Step 3: We consider the new divisor 150 and the new remainder 79, and apply the division lemma to get

150 = 79 x 1 + 71

We consider the new divisor 79 and the new remainder 71,and apply the division lemma to get

79 = 71 x 1 + 8

We consider the new divisor 71 and the new remainder 8,and apply the division lemma to get

71 = 8 x 8 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5787 and 1879 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(71,8) = HCF(79,71) = HCF(150,79) = HCF(1879,150) = HCF(5787,1879) .

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

Step 1: Since 54008 > 1, we apply the division lemma to 54008 and 1, to get

54008 = 1 x 54008 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54008 is 1

Notice that 1 = HCF(54008,1) .

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Frequently Asked Questions on HCF of 5787, 1879, 54008 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 5787, 1879, 54008?

Answer: HCF of 5787, 1879, 54008 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5787, 1879, 54008 using Euclid's Algorithm?

Answer: For arbitrary numbers 5787, 1879, 54008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.