Highest Common Factor of 8375, 3018, 50386 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 8375, 3018, 50386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8375, 3018, 50386 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 8375, 3018, 50386 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 8375, 3018, 50386 is 1.

HCF(8375, 3018, 50386) = 1

HCF of 8375, 3018, 50386 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 8375, 3018, 50386 is 1.

Highest Common Factor of 8375,3018,50386 using Euclid's algorithm

Highest Common Factor of 8375,3018,50386 is 1

Step 1: Since 8375 > 3018, we apply the division lemma to 8375 and 3018, to get

8375 = 3018 x 2 + 2339

Step 2: Since the reminder 3018 ≠ 0, we apply division lemma to 2339 and 3018, to get

3018 = 2339 x 1 + 679

Step 3: We consider the new divisor 2339 and the new remainder 679, and apply the division lemma to get

2339 = 679 x 3 + 302

We consider the new divisor 679 and the new remainder 302,and apply the division lemma to get

679 = 302 x 2 + 75

We consider the new divisor 302 and the new remainder 75,and apply the division lemma to get

302 = 75 x 4 + 2

We consider the new divisor 75 and the new remainder 2,and apply the division lemma to get

75 = 2 x 37 + 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 8375 and 3018 is 1

Notice that 1 = HCF(2,1) = HCF(75,2) = HCF(302,75) = HCF(679,302) = HCF(2339,679) = HCF(3018,2339) = HCF(8375,3018) .

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

Step 1: Since 50386 > 1, we apply the division lemma to 50386 and 1, to get

50386 = 1 x 50386 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50386 is 1

Notice that 1 = HCF(50386,1) .

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Frequently Asked Questions on HCF of 8375, 3018, 50386 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 8375, 3018, 50386?

Answer: HCF of 8375, 3018, 50386 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8375, 3018, 50386 using Euclid's Algorithm?

Answer: For arbitrary numbers 8375, 3018, 50386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.