Highest Common Factor of 2359, 7881, 52253 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 2359, 7881, 52253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2359, 7881, 52253 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 2359, 7881, 52253 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 2359, 7881, 52253 is 1.

HCF(2359, 7881, 52253) = 1

HCF of 2359, 7881, 52253 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 2359, 7881, 52253 is 1.

Highest Common Factor of 2359,7881,52253 using Euclid's algorithm

Highest Common Factor of 2359,7881,52253 is 1

Step 1: Since 7881 > 2359, we apply the division lemma to 7881 and 2359, to get

7881 = 2359 x 3 + 804

Step 2: Since the reminder 2359 ≠ 0, we apply division lemma to 804 and 2359, to get

2359 = 804 x 2 + 751

Step 3: We consider the new divisor 804 and the new remainder 751, and apply the division lemma to get

804 = 751 x 1 + 53

We consider the new divisor 751 and the new remainder 53,and apply the division lemma to get

751 = 53 x 14 + 9

We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get

53 = 9 x 5 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2359 and 7881 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(751,53) = HCF(804,751) = HCF(2359,804) = HCF(7881,2359) .

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

Step 1: Since 52253 > 1, we apply the division lemma to 52253 and 1, to get

52253 = 1 x 52253 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52253 is 1

Notice that 1 = HCF(52253,1) .

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Frequently Asked Questions on HCF of 2359, 7881, 52253 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 2359, 7881, 52253?

Answer: HCF of 2359, 7881, 52253 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2359, 7881, 52253 using Euclid's Algorithm?

Answer: For arbitrary numbers 2359, 7881, 52253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.