Highest Common Factor of 2262, 8321, 96375 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 2262, 8321, 96375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2262, 8321, 96375 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 2262, 8321, 96375 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 2262, 8321, 96375 is 1.

HCF(2262, 8321, 96375) = 1

HCF of 2262, 8321, 96375 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 2262, 8321, 96375 is 1.

Highest Common Factor of 2262,8321,96375 using Euclid's algorithm

Highest Common Factor of 2262,8321,96375 is 1

Step 1: Since 8321 > 2262, we apply the division lemma to 8321 and 2262, to get

8321 = 2262 x 3 + 1535

Step 2: Since the reminder 2262 ≠ 0, we apply division lemma to 1535 and 2262, to get

2262 = 1535 x 1 + 727

Step 3: We consider the new divisor 1535 and the new remainder 727, and apply the division lemma to get

1535 = 727 x 2 + 81

We consider the new divisor 727 and the new remainder 81,and apply the division lemma to get

727 = 81 x 8 + 79

We consider the new divisor 81 and the new remainder 79,and apply the division lemma to get

81 = 79 x 1 + 2

We consider the new divisor 79 and the new remainder 2,and apply the division lemma to get

79 = 2 x 39 + 1

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 2262 and 8321 is 1

Notice that 1 = HCF(2,1) = HCF(79,2) = HCF(81,79) = HCF(727,81) = HCF(1535,727) = HCF(2262,1535) = HCF(8321,2262) .

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

Step 1: Since 96375 > 1, we apply the division lemma to 96375 and 1, to get

96375 = 1 x 96375 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96375 is 1

Notice that 1 = HCF(96375,1) .

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Frequently Asked Questions on HCF of 2262, 8321, 96375 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 2262, 8321, 96375?

Answer: HCF of 2262, 8321, 96375 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2262, 8321, 96375 using Euclid's Algorithm?

Answer: For arbitrary numbers 2262, 8321, 96375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.