Highest Common Factor of 7883, 9900, 93212 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 7883, 9900, 93212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7883, 9900, 93212 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 7883, 9900, 93212 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 7883, 9900, 93212 is 1.

HCF(7883, 9900, 93212) = 1

HCF of 7883, 9900, 93212 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 7883, 9900, 93212 is 1.

Highest Common Factor of 7883,9900,93212 using Euclid's algorithm

Highest Common Factor of 7883,9900,93212 is 1

Step 1: Since 9900 > 7883, we apply the division lemma to 9900 and 7883, to get

9900 = 7883 x 1 + 2017

Step 2: Since the reminder 7883 ≠ 0, we apply division lemma to 2017 and 7883, to get

7883 = 2017 x 3 + 1832

Step 3: We consider the new divisor 2017 and the new remainder 1832, and apply the division lemma to get

2017 = 1832 x 1 + 185

We consider the new divisor 1832 and the new remainder 185,and apply the division lemma to get

1832 = 185 x 9 + 167

We consider the new divisor 185 and the new remainder 167,and apply the division lemma to get

185 = 167 x 1 + 18

We consider the new divisor 167 and the new remainder 18,and apply the division lemma to get

167 = 18 x 9 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7883 and 9900 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(167,18) = HCF(185,167) = HCF(1832,185) = HCF(2017,1832) = HCF(7883,2017) = HCF(9900,7883) .

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

Step 1: Since 93212 > 1, we apply the division lemma to 93212 and 1, to get

93212 = 1 x 93212 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93212 is 1

Notice that 1 = HCF(93212,1) .

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Frequently Asked Questions on HCF of 7883, 9900, 93212 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 7883, 9900, 93212?

Answer: HCF of 7883, 9900, 93212 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7883, 9900, 93212 using Euclid's Algorithm?

Answer: For arbitrary numbers 7883, 9900, 93212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.