Highest Common Factor of 485, 838, 719 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 485, 838, 719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 485, 838, 719 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 485, 838, 719 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 485, 838, 719 is 1.

HCF(485, 838, 719) = 1

HCF of 485, 838, 719 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 485, 838, 719 is 1.

Highest Common Factor of 485,838,719 using Euclid's algorithm

Highest Common Factor of 485,838,719 is 1

Step 1: Since 838 > 485, we apply the division lemma to 838 and 485, to get

838 = 485 x 1 + 353

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 353 and 485, to get

485 = 353 x 1 + 132

Step 3: We consider the new divisor 353 and the new remainder 132, and apply the division lemma to get

353 = 132 x 2 + 89

We consider the new divisor 132 and the new remainder 89,and apply the division lemma to get

132 = 89 x 1 + 43

We consider the new divisor 89 and the new remainder 43,and apply the division lemma to get

89 = 43 x 2 + 3

We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get

43 = 3 x 14 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 485 and 838 is 1

Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(89,43) = HCF(132,89) = HCF(353,132) = HCF(485,353) = HCF(838,485) .

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

Step 1: Since 719 > 1, we apply the division lemma to 719 and 1, to get

719 = 1 x 719 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 719 is 1

Notice that 1 = HCF(719,1) .

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Frequently Asked Questions on HCF of 485, 838, 719 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 485, 838, 719?

Answer: HCF of 485, 838, 719 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 485, 838, 719 using Euclid's Algorithm?

Answer: For arbitrary numbers 485, 838, 719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.