Highest Common Factor of 248, 675, 441 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 248, 675, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 248, 675, 441 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 248, 675, 441 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 248, 675, 441 is 1.

HCF(248, 675, 441) = 1

HCF of 248, 675, 441 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 248, 675, 441 is 1.

Highest Common Factor of 248,675,441 using Euclid's algorithm

Highest Common Factor of 248,675,441 is 1

Step 1: Since 675 > 248, we apply the division lemma to 675 and 248, to get

675 = 248 x 2 + 179

Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 179 and 248, to get

248 = 179 x 1 + 69

Step 3: We consider the new divisor 179 and the new remainder 69, and apply the division lemma to get

179 = 69 x 2 + 41

We consider the new divisor 69 and the new remainder 41,and apply the division lemma to get

69 = 41 x 1 + 28

We consider the new divisor 41 and the new remainder 28,and apply the division lemma to get

41 = 28 x 1 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 248 and 675 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(41,28) = HCF(69,41) = HCF(179,69) = HCF(248,179) = HCF(675,248) .

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

Step 1: Since 441 > 1, we apply the division lemma to 441 and 1, to get

441 = 1 x 441 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 441 is 1

Notice that 1 = HCF(441,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 248, 675, 441 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 248, 675, 441?

Answer: HCF of 248, 675, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 248, 675, 441 using Euclid's Algorithm?

Answer: For arbitrary numbers 248, 675, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.