Highest Common Factor of 751, 479, 830 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 751, 479, 830 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 479, 830 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 751, 479, 830 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 751, 479, 830 is 1.

HCF(751, 479, 830) = 1

HCF of 751, 479, 830 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 751, 479, 830 is 1.

Highest Common Factor of 751,479,830 using Euclid's algorithm

Highest Common Factor of 751,479,830 is 1

Step 1: Since 751 > 479, we apply the division lemma to 751 and 479, to get

751 = 479 x 1 + 272

Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 272 and 479, to get

479 = 272 x 1 + 207

Step 3: We consider the new divisor 272 and the new remainder 207, and apply the division lemma to get

272 = 207 x 1 + 65

We consider the new divisor 207 and the new remainder 65,and apply the division lemma to get

207 = 65 x 3 + 12

We consider the new divisor 65 and the new remainder 12,and apply the division lemma to get

65 = 12 x 5 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 751 and 479 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(65,12) = HCF(207,65) = HCF(272,207) = HCF(479,272) = HCF(751,479) .

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

Step 1: Since 830 > 1, we apply the division lemma to 830 and 1, to get

830 = 1 x 830 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 830 is 1

Notice that 1 = HCF(830,1) .

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Frequently Asked Questions on HCF of 751, 479, 830 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 751, 479, 830?

Answer: HCF of 751, 479, 830 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 479, 830 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 479, 830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.