Highest Common Factor of 370, 7383, 5715 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 370, 7383, 5715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 370, 7383, 5715 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 370, 7383, 5715 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 370, 7383, 5715 is 1.

HCF(370, 7383, 5715) = 1

HCF of 370, 7383, 5715 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 370, 7383, 5715 is 1.

Highest Common Factor of 370,7383,5715 using Euclid's algorithm

Highest Common Factor of 370,7383,5715 is 1

Step 1: Since 7383 > 370, we apply the division lemma to 7383 and 370, to get

7383 = 370 x 19 + 353

Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 353 and 370, to get

370 = 353 x 1 + 17

Step 3: We consider the new divisor 353 and the new remainder 17, and apply the division lemma to get

353 = 17 x 20 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

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 370 and 7383 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(353,17) = HCF(370,353) = HCF(7383,370) .

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

Step 1: Since 5715 > 1, we apply the division lemma to 5715 and 1, to get

5715 = 1 x 5715 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5715 is 1

Notice that 1 = HCF(5715,1) .

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Frequently Asked Questions on HCF of 370, 7383, 5715 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 370, 7383, 5715?

Answer: HCF of 370, 7383, 5715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 370, 7383, 5715 using Euclid's Algorithm?

Answer: For arbitrary numbers 370, 7383, 5715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.