Highest Common Factor of 827, 4315, 5755 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 827, 4315, 5755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 827, 4315, 5755 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 827, 4315, 5755 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 827, 4315, 5755 is 1.

HCF(827, 4315, 5755) = 1

HCF of 827, 4315, 5755 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 827, 4315, 5755 is 1.

Highest Common Factor of 827,4315,5755 using Euclid's algorithm

Highest Common Factor of 827,4315,5755 is 1

Step 1: Since 4315 > 827, we apply the division lemma to 4315 and 827, to get

4315 = 827 x 5 + 180

Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 180 and 827, to get

827 = 180 x 4 + 107

Step 3: We consider the new divisor 180 and the new remainder 107, and apply the division lemma to get

180 = 107 x 1 + 73

We consider the new divisor 107 and the new remainder 73,and apply the division lemma to get

107 = 73 x 1 + 34

We consider the new divisor 73 and the new remainder 34,and apply the division lemma to get

73 = 34 x 2 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 4315 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(73,34) = HCF(107,73) = HCF(180,107) = HCF(827,180) = HCF(4315,827) .

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

Step 1: Since 5755 > 1, we apply the division lemma to 5755 and 1, to get

5755 = 1 x 5755 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5755 is 1

Notice that 1 = HCF(5755,1) .

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Frequently Asked Questions on HCF of 827, 4315, 5755 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 827, 4315, 5755?

Answer: HCF of 827, 4315, 5755 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 827, 4315, 5755 using Euclid's Algorithm?

Answer: For arbitrary numbers 827, 4315, 5755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.