Highest Common Factor of 370, 806, 715 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, 806, 715 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 370, 806, 715 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, 806, 715 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, 806, 715 is 1.

HCF(370, 806, 715) = 1

HCF of 370, 806, 715 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, 806, 715 is 1.

Highest Common Factor of 370,806,715 using Euclid's algorithm

Highest Common Factor of 370,806,715 is 1

Step 1: Since 806 > 370, we apply the division lemma to 806 and 370, to get

806 = 370 x 2 + 66

Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 66 and 370, to get

370 = 66 x 5 + 40

Step 3: We consider the new divisor 66 and the new remainder 40, and apply the division lemma to get

66 = 40 x 1 + 26

We consider the new divisor 40 and the new remainder 26,and apply the division lemma to get

40 = 26 x 1 + 14

We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get

26 = 14 x 1 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 370 and 806 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(40,26) = HCF(66,40) = HCF(370,66) = HCF(806,370) .

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

Step 1: Since 715 > 2, we apply the division lemma to 715 and 2, to get

715 = 2 x 357 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 715 is 1

Notice that 1 = HCF(2,1) = HCF(715,2) .

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Frequently Asked Questions on HCF of 370, 806, 715 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, 806, 715?

Answer: HCF of 370, 806, 715 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 370, 806, 715 using Euclid's Algorithm?

Answer: For arbitrary numbers 370, 806, 715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.