Highest Common Factor of 8827, 6872, 24650 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 8827, 6872, 24650 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8827, 6872, 24650 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 8827, 6872, 24650 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 8827, 6872, 24650 is 1.

HCF(8827, 6872, 24650) = 1

HCF of 8827, 6872, 24650 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 8827, 6872, 24650 is 1.

Highest Common Factor of 8827,6872,24650 using Euclid's algorithm

Highest Common Factor of 8827,6872,24650 is 1

Step 1: Since 8827 > 6872, we apply the division lemma to 8827 and 6872, to get

8827 = 6872 x 1 + 1955

Step 2: Since the reminder 6872 ≠ 0, we apply division lemma to 1955 and 6872, to get

6872 = 1955 x 3 + 1007

Step 3: We consider the new divisor 1955 and the new remainder 1007, and apply the division lemma to get

1955 = 1007 x 1 + 948

We consider the new divisor 1007 and the new remainder 948,and apply the division lemma to get

1007 = 948 x 1 + 59

We consider the new divisor 948 and the new remainder 59,and apply the division lemma to get

948 = 59 x 16 + 4

We consider the new divisor 59 and the new remainder 4,and apply the division lemma to get

59 = 4 x 14 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8827 and 6872 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(59,4) = HCF(948,59) = HCF(1007,948) = HCF(1955,1007) = HCF(6872,1955) = HCF(8827,6872) .

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

Step 1: Since 24650 > 1, we apply the division lemma to 24650 and 1, to get

24650 = 1 x 24650 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24650 is 1

Notice that 1 = HCF(24650,1) .

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Frequently Asked Questions on HCF of 8827, 6872, 24650 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 8827, 6872, 24650?

Answer: HCF of 8827, 6872, 24650 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8827, 6872, 24650 using Euclid's Algorithm?

Answer: For arbitrary numbers 8827, 6872, 24650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.