Highest Common Factor of 555, 883, 508 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 555, 883, 508 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 555, 883, 508 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 555, 883, 508 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 555, 883, 508 is 1.

HCF(555, 883, 508) = 1

HCF of 555, 883, 508 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 555, 883, 508 is 1.

Highest Common Factor of 555,883,508 using Euclid's algorithm

Highest Common Factor of 555,883,508 is 1

Step 1: Since 883 > 555, we apply the division lemma to 883 and 555, to get

883 = 555 x 1 + 328

Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 328 and 555, to get

555 = 328 x 1 + 227

Step 3: We consider the new divisor 328 and the new remainder 227, and apply the division lemma to get

328 = 227 x 1 + 101

We consider the new divisor 227 and the new remainder 101,and apply the division lemma to get

227 = 101 x 2 + 25

We consider the new divisor 101 and the new remainder 25,and apply the division lemma to get

101 = 25 x 4 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 555 and 883 is 1

Notice that 1 = HCF(25,1) = HCF(101,25) = HCF(227,101) = HCF(328,227) = HCF(555,328) = HCF(883,555) .

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

Step 1: Since 508 > 1, we apply the division lemma to 508 and 1, to get

508 = 1 x 508 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 508 is 1

Notice that 1 = HCF(508,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 555, 883, 508 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 555, 883, 508?

Answer: HCF of 555, 883, 508 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 555, 883, 508 using Euclid's Algorithm?

Answer: For arbitrary numbers 555, 883, 508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.