Highest Common Factor of 879, 569, 40 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 879, 569, 40 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 879, 569, 40 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 879, 569, 40 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 879, 569, 40 is 1.

HCF(879, 569, 40) = 1

HCF of 879, 569, 40 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 879, 569, 40 is 1.

Highest Common Factor of 879,569,40 using Euclid's algorithm

Highest Common Factor of 879,569,40 is 1

Step 1: Since 879 > 569, we apply the division lemma to 879 and 569, to get

879 = 569 x 1 + 310

Step 2: Since the reminder 569 ≠ 0, we apply division lemma to 310 and 569, to get

569 = 310 x 1 + 259

Step 3: We consider the new divisor 310 and the new remainder 259, and apply the division lemma to get

310 = 259 x 1 + 51

We consider the new divisor 259 and the new remainder 51,and apply the division lemma to get

259 = 51 x 5 + 4

We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get

51 = 4 x 12 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 879 and 569 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(259,51) = HCF(310,259) = HCF(569,310) = HCF(879,569) .

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

Step 1: Since 40 > 1, we apply the division lemma to 40 and 1, to get

40 = 1 x 40 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40 is 1

Notice that 1 = HCF(40,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 879, 569, 40 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 879, 569, 40?

Answer: HCF of 879, 569, 40 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 879, 569, 40 using Euclid's Algorithm?

Answer: For arbitrary numbers 879, 569, 40 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.