Highest Common Factor of 456, 2223, 9848 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 456, 2223, 9848 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 456, 2223, 9848 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 456, 2223, 9848 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 456, 2223, 9848 is 1.

HCF(456, 2223, 9848) = 1

HCF of 456, 2223, 9848 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 456, 2223, 9848 is 1.

Highest Common Factor of 456,2223,9848 using Euclid's algorithm

Highest Common Factor of 456,2223,9848 is 1

Step 1: Since 2223 > 456, we apply the division lemma to 2223 and 456, to get

2223 = 456 x 4 + 399

Step 2: Since the reminder 456 ≠ 0, we apply division lemma to 399 and 456, to get

456 = 399 x 1 + 57

Step 3: We consider the new divisor 399 and the new remainder 57, and apply the division lemma to get

399 = 57 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 456 and 2223 is 57

Notice that 57 = HCF(399,57) = HCF(456,399) = HCF(2223,456) .

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

Step 1: Since 9848 > 57, we apply the division lemma to 9848 and 57, to get

9848 = 57 x 172 + 44

Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 44 and 57, to get

57 = 44 x 1 + 13

Step 3: We consider the new divisor 44 and the new remainder 13, and apply the division lemma to get

44 = 13 x 3 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 57 and 9848 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(57,44) = HCF(9848,57) .

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Frequently Asked Questions on HCF of 456, 2223, 9848 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 456, 2223, 9848?

Answer: HCF of 456, 2223, 9848 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 456, 2223, 9848 using Euclid's Algorithm?

Answer: For arbitrary numbers 456, 2223, 9848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.