Highest Common Factor of 2453, 9952, 43276 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 2453, 9952, 43276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2453, 9952, 43276 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 2453, 9952, 43276 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 2453, 9952, 43276 is 1.

HCF(2453, 9952, 43276) = 1

HCF of 2453, 9952, 43276 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 2453, 9952, 43276 is 1.

Highest Common Factor of 2453,9952,43276 using Euclid's algorithm

Highest Common Factor of 2453,9952,43276 is 1

Step 1: Since 9952 > 2453, we apply the division lemma to 9952 and 2453, to get

9952 = 2453 x 4 + 140

Step 2: Since the reminder 2453 ≠ 0, we apply division lemma to 140 and 2453, to get

2453 = 140 x 17 + 73

Step 3: We consider the new divisor 140 and the new remainder 73, and apply the division lemma to get

140 = 73 x 1 + 67

We consider the new divisor 73 and the new remainder 67,and apply the division lemma to get

73 = 67 x 1 + 6

We consider the new divisor 67 and the new remainder 6,and apply the division lemma to get

67 = 6 x 11 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2453 and 9952 is 1

Notice that 1 = HCF(6,1) = HCF(67,6) = HCF(73,67) = HCF(140,73) = HCF(2453,140) = HCF(9952,2453) .

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

Step 1: Since 43276 > 1, we apply the division lemma to 43276 and 1, to get

43276 = 1 x 43276 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43276 is 1

Notice that 1 = HCF(43276,1) .

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Frequently Asked Questions on HCF of 2453, 9952, 43276 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 2453, 9952, 43276?

Answer: HCF of 2453, 9952, 43276 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2453, 9952, 43276 using Euclid's Algorithm?

Answer: For arbitrary numbers 2453, 9952, 43276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.