Highest Common Factor of 845, 728, 47, 516 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 845, 728, 47, 516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 845, 728, 47, 516 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 845, 728, 47, 516 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 845, 728, 47, 516 is 1.

HCF(845, 728, 47, 516) = 1

HCF of 845, 728, 47, 516 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 845, 728, 47, 516 is 1.

Highest Common Factor of 845,728,47,516 using Euclid's algorithm

Highest Common Factor of 845,728,47,516 is 1

Step 1: Since 845 > 728, we apply the division lemma to 845 and 728, to get

845 = 728 x 1 + 117

Step 2: Since the reminder 728 ≠ 0, we apply division lemma to 117 and 728, to get

728 = 117 x 6 + 26

Step 3: We consider the new divisor 117 and the new remainder 26, and apply the division lemma to get

117 = 26 x 4 + 13

We consider the new divisor 26 and the new remainder 13, and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 845 and 728 is 13

Notice that 13 = HCF(26,13) = HCF(117,26) = HCF(728,117) = HCF(845,728) .

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

Step 1: Since 47 > 13, we apply the division lemma to 47 and 13, to get

47 = 13 x 3 + 8

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 8 and 13, to get

13 = 8 x 1 + 5

Step 3: We consider the new divisor 8 and the new remainder 5, and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 13 and 47 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(47,13) .

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

Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get

516 = 1 x 516 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1

Notice that 1 = HCF(516,1) .

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Frequently Asked Questions on HCF of 845, 728, 47, 516 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 845, 728, 47, 516?

Answer: HCF of 845, 728, 47, 516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 845, 728, 47, 516 using Euclid's Algorithm?

Answer: For arbitrary numbers 845, 728, 47, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.