Highest Common Factor of 453, 698, 555, 611 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 453, 698, 555, 611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 453, 698, 555, 611 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 453, 698, 555, 611 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 453, 698, 555, 611 is 1.

HCF(453, 698, 555, 611) = 1

HCF of 453, 698, 555, 611 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 453, 698, 555, 611 is 1.

Highest Common Factor of 453,698,555,611 using Euclid's algorithm

Highest Common Factor of 453,698,555,611 is 1

Step 1: Since 698 > 453, we apply the division lemma to 698 and 453, to get

698 = 453 x 1 + 245

Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 245 and 453, to get

453 = 245 x 1 + 208

Step 3: We consider the new divisor 245 and the new remainder 208, and apply the division lemma to get

245 = 208 x 1 + 37

We consider the new divisor 208 and the new remainder 37,and apply the division lemma to get

208 = 37 x 5 + 23

We consider the new divisor 37 and the new remainder 23,and apply the division lemma to get

37 = 23 x 1 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

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 453 and 698 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(37,23) = HCF(208,37) = HCF(245,208) = HCF(453,245) = HCF(698,453) .

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

Step 1: Since 555 > 1, we apply the division lemma to 555 and 1, to get

555 = 1 x 555 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 555 is 1

Notice that 1 = HCF(555,1) .

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

Step 1: Since 611 > 1, we apply the division lemma to 611 and 1, to get

611 = 1 x 611 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 611 is 1

Notice that 1 = HCF(611,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 453, 698, 555, 611 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 453, 698, 555, 611?

Answer: HCF of 453, 698, 555, 611 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 453, 698, 555, 611 using Euclid's Algorithm?

Answer: For arbitrary numbers 453, 698, 555, 611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.