Highest Common Factor of 215, 175, 248 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 215, 175, 248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 215, 175, 248 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 215, 175, 248 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 215, 175, 248 is 1.

HCF(215, 175, 248) = 1

HCF of 215, 175, 248 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 215, 175, 248 is 1.

Highest Common Factor of 215,175,248 using Euclid's algorithm

Highest Common Factor of 215,175,248 is 1

Step 1: Since 215 > 175, we apply the division lemma to 215 and 175, to get

215 = 175 x 1 + 40

Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 40 and 175, to get

175 = 40 x 4 + 15

Step 3: We consider the new divisor 40 and the new remainder 15, and apply the division lemma to get

40 = 15 x 2 + 10

We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 215 and 175 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(175,40) = HCF(215,175) .

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

Step 1: Since 248 > 5, we apply the division lemma to 248 and 5, to get

248 = 5 x 49 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: 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 5 and 248 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(248,5) .

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Frequently Asked Questions on HCF of 215, 175, 248 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 215, 175, 248?

Answer: HCF of 215, 175, 248 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 215, 175, 248 using Euclid's Algorithm?

Answer: For arbitrary numbers 215, 175, 248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.