Highest Common Factor of 879, 8312, 4550 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, 8312, 4550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 879, 8312, 4550 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, 8312, 4550 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, 8312, 4550 is 1.

HCF(879, 8312, 4550) = 1

HCF of 879, 8312, 4550 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, 8312, 4550 is 1.

Highest Common Factor of 879,8312,4550 using Euclid's algorithm

Highest Common Factor of 879,8312,4550 is 1

Step 1: Since 8312 > 879, we apply the division lemma to 8312 and 879, to get

8312 = 879 x 9 + 401

Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 401 and 879, to get

879 = 401 x 2 + 77

Step 3: We consider the new divisor 401 and the new remainder 77, and apply the division lemma to get

401 = 77 x 5 + 16

We consider the new divisor 77 and the new remainder 16,and apply the division lemma to get

77 = 16 x 4 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

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

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 879 and 8312 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(77,16) = HCF(401,77) = HCF(879,401) = HCF(8312,879) .

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

Step 1: Since 4550 > 1, we apply the division lemma to 4550 and 1, to get

4550 = 1 x 4550 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4550 is 1

Notice that 1 = HCF(4550,1) .

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Frequently Asked Questions on HCF of 879, 8312, 4550 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, 8312, 4550?

Answer: HCF of 879, 8312, 4550 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 879, 8312, 4550 using Euclid's Algorithm?

Answer: For arbitrary numbers 879, 8312, 4550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.