Highest Common Factor of 557, 885, 294 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 557, 885, 294 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 557, 885, 294 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 557, 885, 294 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 557, 885, 294 is 1.

HCF(557, 885, 294) = 1

HCF of 557, 885, 294 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 557, 885, 294 is 1.

Highest Common Factor of 557,885,294 using Euclid's algorithm

Highest Common Factor of 557,885,294 is 1

Step 1: Since 885 > 557, we apply the division lemma to 885 and 557, to get

885 = 557 x 1 + 328

Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 328 and 557, to get

557 = 328 x 1 + 229

Step 3: We consider the new divisor 328 and the new remainder 229, and apply the division lemma to get

328 = 229 x 1 + 99

We consider the new divisor 229 and the new remainder 99,and apply the division lemma to get

229 = 99 x 2 + 31

We consider the new divisor 99 and the new remainder 31,and apply the division lemma to get

99 = 31 x 3 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 885 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(99,31) = HCF(229,99) = HCF(328,229) = HCF(557,328) = HCF(885,557) .

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

Step 1: Since 294 > 1, we apply the division lemma to 294 and 1, to get

294 = 1 x 294 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 294 is 1

Notice that 1 = HCF(294,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 557, 885, 294 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 557, 885, 294?

Answer: HCF of 557, 885, 294 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 557, 885, 294 using Euclid's Algorithm?

Answer: For arbitrary numbers 557, 885, 294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.