Highest Common Factor of 879, 9021, 9488 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, 9021, 9488 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 879, 9021, 9488 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, 9021, 9488 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, 9021, 9488 is 1.

HCF(879, 9021, 9488) = 1

HCF of 879, 9021, 9488 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, 9021, 9488 is 1.

Highest Common Factor of 879,9021,9488 using Euclid's algorithm

Highest Common Factor of 879,9021,9488 is 1

Step 1: Since 9021 > 879, we apply the division lemma to 9021 and 879, to get

9021 = 879 x 10 + 231

Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 231 and 879, to get

879 = 231 x 3 + 186

Step 3: We consider the new divisor 231 and the new remainder 186, and apply the division lemma to get

231 = 186 x 1 + 45

We consider the new divisor 186 and the new remainder 45,and apply the division lemma to get

186 = 45 x 4 + 6

We consider the new divisor 45 and the new remainder 6,and apply the division lemma to get

45 = 6 x 7 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 9021 is 3

Notice that 3 = HCF(6,3) = HCF(45,6) = HCF(186,45) = HCF(231,186) = HCF(879,231) = HCF(9021,879) .

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

Step 1: Since 9488 > 3, we apply the division lemma to 9488 and 3, to get

9488 = 3 x 3162 + 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 9488 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(9488,3) .

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Frequently Asked Questions on HCF of 879, 9021, 9488 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, 9021, 9488?

Answer: HCF of 879, 9021, 9488 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 879, 9021, 9488 using Euclid's Algorithm?

Answer: For arbitrary numbers 879, 9021, 9488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.