Highest Common Factor of 876, 9325, 8833 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 876, 9325, 8833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 876, 9325, 8833 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 876, 9325, 8833 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 876, 9325, 8833 is 1.

HCF(876, 9325, 8833) = 1

HCF of 876, 9325, 8833 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 876, 9325, 8833 is 1.

Highest Common Factor of 876,9325,8833 using Euclid's algorithm

Highest Common Factor of 876,9325,8833 is 1

Step 1: Since 9325 > 876, we apply the division lemma to 9325 and 876, to get

9325 = 876 x 10 + 565

Step 2: Since the reminder 876 ≠ 0, we apply division lemma to 565 and 876, to get

876 = 565 x 1 + 311

Step 3: We consider the new divisor 565 and the new remainder 311, and apply the division lemma to get

565 = 311 x 1 + 254

We consider the new divisor 311 and the new remainder 254,and apply the division lemma to get

311 = 254 x 1 + 57

We consider the new divisor 254 and the new remainder 57,and apply the division lemma to get

254 = 57 x 4 + 26

We consider the new divisor 57 and the new remainder 26,and apply the division lemma to get

57 = 26 x 2 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 876 and 9325 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(57,26) = HCF(254,57) = HCF(311,254) = HCF(565,311) = HCF(876,565) = HCF(9325,876) .

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

Step 1: Since 8833 > 1, we apply the division lemma to 8833 and 1, to get

8833 = 1 x 8833 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8833 is 1

Notice that 1 = HCF(8833,1) .

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Frequently Asked Questions on HCF of 876, 9325, 8833 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 876, 9325, 8833?

Answer: HCF of 876, 9325, 8833 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 876, 9325, 8833 using Euclid's Algorithm?

Answer: For arbitrary numbers 876, 9325, 8833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.