Highest Common Factor of 297, 812, 95 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 297, 812, 95 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 297, 812, 95 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 297, 812, 95 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 297, 812, 95 is 1.

HCF(297, 812, 95) = 1

HCF of 297, 812, 95 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 297, 812, 95 is 1.

Highest Common Factor of 297,812,95 using Euclid's algorithm

Highest Common Factor of 297,812,95 is 1

Step 1: Since 812 > 297, we apply the division lemma to 812 and 297, to get

812 = 297 x 2 + 218

Step 2: Since the reminder 297 ≠ 0, we apply division lemma to 218 and 297, to get

297 = 218 x 1 + 79

Step 3: We consider the new divisor 218 and the new remainder 79, and apply the division lemma to get

218 = 79 x 2 + 60

We consider the new divisor 79 and the new remainder 60,and apply the division lemma to get

79 = 60 x 1 + 19

We consider the new divisor 60 and the new remainder 19,and apply the division lemma to get

60 = 19 x 3 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 297 and 812 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(60,19) = HCF(79,60) = HCF(218,79) = HCF(297,218) = HCF(812,297) .

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

Step 1: Since 95 > 1, we apply the division lemma to 95 and 1, to get

95 = 1 x 95 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95 is 1

Notice that 1 = HCF(95,1) .

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Frequently Asked Questions on HCF of 297, 812, 95 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 297, 812, 95?

Answer: HCF of 297, 812, 95 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 297, 812, 95 using Euclid's Algorithm?

Answer: For arbitrary numbers 297, 812, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.