Highest Common Factor of 2318, 4403, 80174 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 2318, 4403, 80174 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2318, 4403, 80174 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 2318, 4403, 80174 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 2318, 4403, 80174 is 1.

HCF(2318, 4403, 80174) = 1

HCF of 2318, 4403, 80174 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 2318, 4403, 80174 is 1.

Highest Common Factor of 2318,4403,80174 using Euclid's algorithm

Highest Common Factor of 2318,4403,80174 is 1

Step 1: Since 4403 > 2318, we apply the division lemma to 4403 and 2318, to get

4403 = 2318 x 1 + 2085

Step 2: Since the reminder 2318 ≠ 0, we apply division lemma to 2085 and 2318, to get

2318 = 2085 x 1 + 233

Step 3: We consider the new divisor 2085 and the new remainder 233, and apply the division lemma to get

2085 = 233 x 8 + 221

We consider the new divisor 233 and the new remainder 221,and apply the division lemma to get

233 = 221 x 1 + 12

We consider the new divisor 221 and the new remainder 12,and apply the division lemma to get

221 = 12 x 18 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2318 and 4403 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(221,12) = HCF(233,221) = HCF(2085,233) = HCF(2318,2085) = HCF(4403,2318) .

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

Step 1: Since 80174 > 1, we apply the division lemma to 80174 and 1, to get

80174 = 1 x 80174 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80174 is 1

Notice that 1 = HCF(80174,1) .

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Frequently Asked Questions on HCF of 2318, 4403, 80174 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 2318, 4403, 80174?

Answer: HCF of 2318, 4403, 80174 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2318, 4403, 80174 using Euclid's Algorithm?

Answer: For arbitrary numbers 2318, 4403, 80174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.