Highest Common Factor of 89, 239, 658, 565 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 89, 239, 658, 565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 89, 239, 658, 565 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 89, 239, 658, 565 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 89, 239, 658, 565 is 1.

HCF(89, 239, 658, 565) = 1

HCF of 89, 239, 658, 565 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 89, 239, 658, 565 is 1.

Highest Common Factor of 89,239,658,565 using Euclid's algorithm

Highest Common Factor of 89,239,658,565 is 1

Step 1: Since 239 > 89, we apply the division lemma to 239 and 89, to get

239 = 89 x 2 + 61

Step 2: Since the reminder 89 ≠ 0, we apply division lemma to 61 and 89, to get

89 = 61 x 1 + 28

Step 3: We consider the new divisor 61 and the new remainder 28, and apply the division lemma to get

61 = 28 x 2 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

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 89 and 239 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(89,61) = HCF(239,89) .

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

Step 1: Since 658 > 1, we apply the division lemma to 658 and 1, to get

658 = 1 x 658 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 658 is 1

Notice that 1 = HCF(658,1) .

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

Step 1: Since 565 > 1, we apply the division lemma to 565 and 1, to get

565 = 1 x 565 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 565 is 1

Notice that 1 = HCF(565,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 89, 239, 658, 565 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 89, 239, 658, 565?

Answer: HCF of 89, 239, 658, 565 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 89, 239, 658, 565 using Euclid's Algorithm?

Answer: For arbitrary numbers 89, 239, 658, 565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.