Highest Common Factor of 474, 855, 884 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 474, 855, 884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 474, 855, 884 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 474, 855, 884 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 474, 855, 884 is 1.

HCF(474, 855, 884) = 1

HCF of 474, 855, 884 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 474, 855, 884 is 1.

Highest Common Factor of 474,855,884 using Euclid's algorithm

Highest Common Factor of 474,855,884 is 1

Step 1: Since 855 > 474, we apply the division lemma to 855 and 474, to get

855 = 474 x 1 + 381

Step 2: Since the reminder 474 ≠ 0, we apply division lemma to 381 and 474, to get

474 = 381 x 1 + 93

Step 3: We consider the new divisor 381 and the new remainder 93, and apply the division lemma to get

381 = 93 x 4 + 9

We consider the new divisor 93 and the new remainder 9,and apply the division lemma to get

93 = 9 x 10 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 474 and 855 is 3

Notice that 3 = HCF(9,3) = HCF(93,9) = HCF(381,93) = HCF(474,381) = HCF(855,474) .

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

Step 1: Since 884 > 3, we apply the division lemma to 884 and 3, to get

884 = 3 x 294 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 884 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(884,3) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 474, 855, 884 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 474, 855, 884?

Answer: HCF of 474, 855, 884 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 474, 855, 884 using Euclid's Algorithm?

Answer: For arbitrary numbers 474, 855, 884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.