Highest Common Factor of 9395, 8385, 93714 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 9395, 8385, 93714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9395, 8385, 93714 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 9395, 8385, 93714 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 9395, 8385, 93714 is 1.

HCF(9395, 8385, 93714) = 1

HCF of 9395, 8385, 93714 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 9395, 8385, 93714 is 1.

Highest Common Factor of 9395,8385,93714 using Euclid's algorithm

Highest Common Factor of 9395,8385,93714 is 1

Step 1: Since 9395 > 8385, we apply the division lemma to 9395 and 8385, to get

9395 = 8385 x 1 + 1010

Step 2: Since the reminder 8385 ≠ 0, we apply division lemma to 1010 and 8385, to get

8385 = 1010 x 8 + 305

Step 3: We consider the new divisor 1010 and the new remainder 305, and apply the division lemma to get

1010 = 305 x 3 + 95

We consider the new divisor 305 and the new remainder 95,and apply the division lemma to get

305 = 95 x 3 + 20

We consider the new divisor 95 and the new remainder 20,and apply the division lemma to get

95 = 20 x 4 + 15

We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get

20 = 15 x 1 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9395 and 8385 is 5

Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(95,20) = HCF(305,95) = HCF(1010,305) = HCF(8385,1010) = HCF(9395,8385) .

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

Step 1: Since 93714 > 5, we apply the division lemma to 93714 and 5, to get

93714 = 5 x 18742 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 93714 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(93714,5) .

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Frequently Asked Questions on HCF of 9395, 8385, 93714 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 9395, 8385, 93714?

Answer: HCF of 9395, 8385, 93714 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9395, 8385, 93714 using Euclid's Algorithm?

Answer: For arbitrary numbers 9395, 8385, 93714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.