Highest Common Factor of 350, 628, 765 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 350, 628, 765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 350, 628, 765 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 350, 628, 765 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 350, 628, 765 is 1.

HCF(350, 628, 765) = 1

HCF of 350, 628, 765 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 350, 628, 765 is 1.

Highest Common Factor of 350,628,765 using Euclid's algorithm

Highest Common Factor of 350,628,765 is 1

Step 1: Since 628 > 350, we apply the division lemma to 628 and 350, to get

628 = 350 x 1 + 278

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 278 and 350, to get

350 = 278 x 1 + 72

Step 3: We consider the new divisor 278 and the new remainder 72, and apply the division lemma to get

278 = 72 x 3 + 62

We consider the new divisor 72 and the new remainder 62,and apply the division lemma to get

72 = 62 x 1 + 10

We consider the new divisor 62 and the new remainder 10,and apply the division lemma to get

62 = 10 x 6 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 350 and 628 is 2

Notice that 2 = HCF(10,2) = HCF(62,10) = HCF(72,62) = HCF(278,72) = HCF(350,278) = HCF(628,350) .

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

Step 1: Since 765 > 2, we apply the division lemma to 765 and 2, to get

765 = 2 x 382 + 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 765 is 1

Notice that 1 = HCF(2,1) = HCF(765,2) .

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Frequently Asked Questions on HCF of 350, 628, 765 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 350, 628, 765?

Answer: HCF of 350, 628, 765 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 350, 628, 765 using Euclid's Algorithm?

Answer: For arbitrary numbers 350, 628, 765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.