Highest Common Factor of 879, 449, 48 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 879, 449, 48 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 879, 449, 48 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 879, 449, 48 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 879, 449, 48 is 1.

HCF(879, 449, 48) = 1

HCF of 879, 449, 48 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 879, 449, 48 is 1.

Highest Common Factor of 879,449,48 using Euclid's algorithm

Highest Common Factor of 879,449,48 is 1

Step 1: Since 879 > 449, we apply the division lemma to 879 and 449, to get

879 = 449 x 1 + 430

Step 2: Since the reminder 449 ≠ 0, we apply division lemma to 430 and 449, to get

449 = 430 x 1 + 19

Step 3: We consider the new divisor 430 and the new remainder 19, and apply the division lemma to get

430 = 19 x 22 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 879 and 449 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(430,19) = HCF(449,430) = HCF(879,449) .

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

Step 1: Since 48 > 1, we apply the division lemma to 48 and 1, to get

48 = 1 x 48 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48 is 1

Notice that 1 = HCF(48,1) .

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Frequently Asked Questions on HCF of 879, 449, 48 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 879, 449, 48?

Answer: HCF of 879, 449, 48 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 879, 449, 48 using Euclid's Algorithm?

Answer: For arbitrary numbers 879, 449, 48 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.