Highest Common Factor of 899, 248, 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 899, 248, 115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 899, 248, 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 899, 248, 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 899, 248, 115 is 1.

HCF(899, 248, 115) = 1

HCF of 899, 248, 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 899, 248, 115 is 1.

Highest Common Factor of 899,248,115 using Euclid's algorithm

Highest Common Factor of 899,248,115 is 1

Step 1: Since 899 > 248, we apply the division lemma to 899 and 248, to get

899 = 248 x 3 + 155

Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 155 and 248, to get

248 = 155 x 1 + 93

Step 3: We consider the new divisor 155 and the new remainder 93, and apply the division lemma to get

155 = 93 x 1 + 62

We consider the new divisor 93 and the new remainder 62,and apply the division lemma to get

93 = 62 x 1 + 31

We consider the new divisor 62 and the new remainder 31,and apply the division lemma to get

62 = 31 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 899 and 248 is 31

Notice that 31 = HCF(62,31) = HCF(93,62) = HCF(155,93) = HCF(248,155) = HCF(899,248) .

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

Step 1: Since 115 > 31, we apply the division lemma to 115 and 31, to get

115 = 31 x 3 + 22

Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 22 and 31, to get

31 = 22 x 1 + 9

Step 3: We consider the new divisor 22 and the new remainder 9, and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 31 and 115 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(115,31) .

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Frequently Asked Questions on HCF of 899, 248, 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 899, 248, 115?

Answer: HCF of 899, 248, 115 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 899, 248, 115 using Euclid's Algorithm?

Answer: For arbitrary numbers 899, 248, 115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.