Highest Common Factor of 388, 671, 370 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 388, 671, 370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 388, 671, 370 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 388, 671, 370 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 388, 671, 370 is 1.

HCF(388, 671, 370) = 1

HCF of 388, 671, 370 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 388, 671, 370 is 1.

Highest Common Factor of 388,671,370 using Euclid's algorithm

Highest Common Factor of 388,671,370 is 1

Step 1: Since 671 > 388, we apply the division lemma to 671 and 388, to get

671 = 388 x 1 + 283

Step 2: Since the reminder 388 ≠ 0, we apply division lemma to 283 and 388, to get

388 = 283 x 1 + 105

Step 3: We consider the new divisor 283 and the new remainder 105, and apply the division lemma to get

283 = 105 x 2 + 73

We consider the new divisor 105 and the new remainder 73,and apply the division lemma to get

105 = 73 x 1 + 32

We consider the new divisor 73 and the new remainder 32,and apply the division lemma to get

73 = 32 x 2 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 388 and 671 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(73,32) = HCF(105,73) = HCF(283,105) = HCF(388,283) = HCF(671,388) .

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

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

370 = 1 x 370 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 370 is 1

Notice that 1 = HCF(370,1) .

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Frequently Asked Questions on HCF of 388, 671, 370 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 388, 671, 370?

Answer: HCF of 388, 671, 370 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 388, 671, 370 using Euclid's Algorithm?

Answer: For arbitrary numbers 388, 671, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.