Highest Common Factor of 791, 510, 395, 28 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 791, 510, 395, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 791, 510, 395, 28 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 791, 510, 395, 28 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 791, 510, 395, 28 is 1.

HCF(791, 510, 395, 28) = 1

HCF of 791, 510, 395, 28 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 791, 510, 395, 28 is 1.

Highest Common Factor of 791,510,395,28 using Euclid's algorithm

Highest Common Factor of 791,510,395,28 is 1

Step 1: Since 791 > 510, we apply the division lemma to 791 and 510, to get

791 = 510 x 1 + 281

Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 281 and 510, to get

510 = 281 x 1 + 229

Step 3: We consider the new divisor 281 and the new remainder 229, and apply the division lemma to get

281 = 229 x 1 + 52

We consider the new divisor 229 and the new remainder 52,and apply the division lemma to get

229 = 52 x 4 + 21

We consider the new divisor 52 and the new remainder 21,and apply the division lemma to get

52 = 21 x 2 + 10

We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get

21 = 10 x 2 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 510 is 1

Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(229,52) = HCF(281,229) = HCF(510,281) = HCF(791,510) .

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

Step 1: Since 395 > 1, we apply the division lemma to 395 and 1, to get

395 = 1 x 395 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 395 is 1

Notice that 1 = HCF(395,1) .

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

Step 1: Since 28 > 1, we apply the division lemma to 28 and 1, to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28 is 1

Notice that 1 = HCF(28,1) .

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Frequently Asked Questions on HCF of 791, 510, 395, 28 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 791, 510, 395, 28?

Answer: HCF of 791, 510, 395, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 791, 510, 395, 28 using Euclid's Algorithm?

Answer: For arbitrary numbers 791, 510, 395, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.