Highest Common Factor of 895, 642, 449 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 895, 642, 449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 895, 642, 449 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 895, 642, 449 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 895, 642, 449 is 1.

HCF(895, 642, 449) = 1

HCF of 895, 642, 449 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 895, 642, 449 is 1.

Highest Common Factor of 895,642,449 using Euclid's algorithm

Highest Common Factor of 895,642,449 is 1

Step 1: Since 895 > 642, we apply the division lemma to 895 and 642, to get

895 = 642 x 1 + 253

Step 2: Since the reminder 642 ≠ 0, we apply division lemma to 253 and 642, to get

642 = 253 x 2 + 136

Step 3: We consider the new divisor 253 and the new remainder 136, and apply the division lemma to get

253 = 136 x 1 + 117

We consider the new divisor 136 and the new remainder 117,and apply the division lemma to get

136 = 117 x 1 + 19

We consider the new divisor 117 and the new remainder 19,and apply the division lemma to get

117 = 19 x 6 + 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 895 and 642 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(117,19) = HCF(136,117) = HCF(253,136) = HCF(642,253) = HCF(895,642) .

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

Step 1: Since 449 > 1, we apply the division lemma to 449 and 1, to get

449 = 1 x 449 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 449 is 1

Notice that 1 = HCF(449,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 895, 642, 449 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 895, 642, 449?

Answer: HCF of 895, 642, 449 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 895, 642, 449 using Euclid's Algorithm?

Answer: For arbitrary numbers 895, 642, 449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.