Highest Common Factor of 485, 685, 554 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 485, 685, 554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 485, 685, 554 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 485, 685, 554 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 485, 685, 554 is 1.

HCF(485, 685, 554) = 1

HCF of 485, 685, 554 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 485, 685, 554 is 1.

Highest Common Factor of 485,685,554 using Euclid's algorithm

Highest Common Factor of 485,685,554 is 1

Step 1: Since 685 > 485, we apply the division lemma to 685 and 485, to get

685 = 485 x 1 + 200

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 200 and 485, to get

485 = 200 x 2 + 85

Step 3: We consider the new divisor 200 and the new remainder 85, and apply the division lemma to get

200 = 85 x 2 + 30

We consider the new divisor 85 and the new remainder 30,and apply the division lemma to get

85 = 30 x 2 + 25

We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get

30 = 25 x 1 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 485 and 685 is 5

Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(85,30) = HCF(200,85) = HCF(485,200) = HCF(685,485) .

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

Step 1: Since 554 > 5, we apply the division lemma to 554 and 5, to get

554 = 5 x 110 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 554 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(554,5) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 485, 685, 554 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 485, 685, 554?

Answer: HCF of 485, 685, 554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 485, 685, 554 using Euclid's Algorithm?

Answer: For arbitrary numbers 485, 685, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.