Highest Common Factor of 713, 379, 419, 681 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 713, 379, 419, 681 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 713, 379, 419, 681 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 713, 379, 419, 681 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 713, 379, 419, 681 is 1.

HCF(713, 379, 419, 681) = 1

HCF of 713, 379, 419, 681 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 713, 379, 419, 681 is 1.

Highest Common Factor of 713,379,419,681 using Euclid's algorithm

Highest Common Factor of 713,379,419,681 is 1

Step 1: Since 713 > 379, we apply the division lemma to 713 and 379, to get

713 = 379 x 1 + 334

Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 334 and 379, to get

379 = 334 x 1 + 45

Step 3: We consider the new divisor 334 and the new remainder 45, and apply the division lemma to get

334 = 45 x 7 + 19

We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get

45 = 19 x 2 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 713 and 379 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(334,45) = HCF(379,334) = HCF(713,379) .

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

Step 1: Since 419 > 1, we apply the division lemma to 419 and 1, to get

419 = 1 x 419 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 419 is 1

Notice that 1 = HCF(419,1) .

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

Step 1: Since 681 > 1, we apply the division lemma to 681 and 1, to get

681 = 1 x 681 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 681 is 1

Notice that 1 = HCF(681,1) .

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Frequently Asked Questions on HCF of 713, 379, 419, 681 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 713, 379, 419, 681?

Answer: HCF of 713, 379, 419, 681 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 713, 379, 419, 681 using Euclid's Algorithm?

Answer: For arbitrary numbers 713, 379, 419, 681 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.