Highest Common Factor of 7845, 5728, 71394 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 7845, 5728, 71394 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7845, 5728, 71394 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 7845, 5728, 71394 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 7845, 5728, 71394 is 1.

HCF(7845, 5728, 71394) = 1

HCF of 7845, 5728, 71394 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 7845, 5728, 71394 is 1.

Highest Common Factor of 7845,5728,71394 using Euclid's algorithm

Highest Common Factor of 7845,5728,71394 is 1

Step 1: Since 7845 > 5728, we apply the division lemma to 7845 and 5728, to get

7845 = 5728 x 1 + 2117

Step 2: Since the reminder 5728 ≠ 0, we apply division lemma to 2117 and 5728, to get

5728 = 2117 x 2 + 1494

Step 3: We consider the new divisor 2117 and the new remainder 1494, and apply the division lemma to get

2117 = 1494 x 1 + 623

We consider the new divisor 1494 and the new remainder 623,and apply the division lemma to get

1494 = 623 x 2 + 248

We consider the new divisor 623 and the new remainder 248,and apply the division lemma to get

623 = 248 x 2 + 127

We consider the new divisor 248 and the new remainder 127,and apply the division lemma to get

248 = 127 x 1 + 121

We consider the new divisor 127 and the new remainder 121,and apply the division lemma to get

127 = 121 x 1 + 6

We consider the new divisor 121 and the new remainder 6,and apply the division lemma to get

121 = 6 x 20 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7845 and 5728 is 1

Notice that 1 = HCF(6,1) = HCF(121,6) = HCF(127,121) = HCF(248,127) = HCF(623,248) = HCF(1494,623) = HCF(2117,1494) = HCF(5728,2117) = HCF(7845,5728) .

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

Step 1: Since 71394 > 1, we apply the division lemma to 71394 and 1, to get

71394 = 1 x 71394 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71394 is 1

Notice that 1 = HCF(71394,1) .

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Frequently Asked Questions on HCF of 7845, 5728, 71394 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 7845, 5728, 71394?

Answer: HCF of 7845, 5728, 71394 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7845, 5728, 71394 using Euclid's Algorithm?

Answer: For arbitrary numbers 7845, 5728, 71394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.