Highest Common Factor of 426, 293, 895 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 426, 293, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 426, 293, 895 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 426, 293, 895 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 426, 293, 895 is 1.

HCF(426, 293, 895) = 1

HCF of 426, 293, 895 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 426, 293, 895 is 1.

Highest Common Factor of 426,293,895 using Euclid's algorithm

Highest Common Factor of 426,293,895 is 1

Step 1: Since 426 > 293, we apply the division lemma to 426 and 293, to get

426 = 293 x 1 + 133

Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 133 and 293, to get

293 = 133 x 2 + 27

Step 3: We consider the new divisor 133 and the new remainder 27, and apply the division lemma to get

133 = 27 x 4 + 25

We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get

27 = 25 x 1 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 426 and 293 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(133,27) = HCF(293,133) = HCF(426,293) .

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

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

895 = 1 x 895 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 895 is 1

Notice that 1 = HCF(895,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 426, 293, 895 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 426, 293, 895?

Answer: HCF of 426, 293, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 426, 293, 895 using Euclid's Algorithm?

Answer: For arbitrary numbers 426, 293, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.