Highest Common Factor of 651, 890, 115 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 651, 890, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 651, 890, 115 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 651, 890, 115 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 651, 890, 115 is 1.

HCF(651, 890, 115) = 1

HCF of 651, 890, 115 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 651, 890, 115 is 1.

Highest Common Factor of 651,890,115 using Euclid's algorithm

Highest Common Factor of 651,890,115 is 1

Step 1: Since 890 > 651, we apply the division lemma to 890 and 651, to get

890 = 651 x 1 + 239

Step 2: Since the reminder 651 ≠ 0, we apply division lemma to 239 and 651, to get

651 = 239 x 2 + 173

Step 3: We consider the new divisor 239 and the new remainder 173, and apply the division lemma to get

239 = 173 x 1 + 66

We consider the new divisor 173 and the new remainder 66,and apply the division lemma to get

173 = 66 x 2 + 41

We consider the new divisor 66 and the new remainder 41,and apply the division lemma to get

66 = 41 x 1 + 25

We consider the new divisor 41 and the new remainder 25,and apply the division lemma to get

41 = 25 x 1 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 651 and 890 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(41,25) = HCF(66,41) = HCF(173,66) = HCF(239,173) = HCF(651,239) = HCF(890,651) .

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

Step 1: Since 115 > 1, we apply the division lemma to 115 and 1, to get

115 = 1 x 115 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 115 is 1

Notice that 1 = HCF(115,1) .

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Frequently Asked Questions on HCF of 651, 890, 115 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 651, 890, 115?

Answer: HCF of 651, 890, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 651, 890, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 651, 890, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.