Highest Common Factor of 713, 1747, 4435 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, 1747, 4435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 713, 1747, 4435 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, 1747, 4435 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, 1747, 4435 is 1.

HCF(713, 1747, 4435) = 1

HCF of 713, 1747, 4435 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, 1747, 4435 is 1.

Highest Common Factor of 713,1747,4435 using Euclid's algorithm

Highest Common Factor of 713,1747,4435 is 1

Step 1: Since 1747 > 713, we apply the division lemma to 1747 and 713, to get

1747 = 713 x 2 + 321

Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 321 and 713, to get

713 = 321 x 2 + 71

Step 3: We consider the new divisor 321 and the new remainder 71, and apply the division lemma to get

321 = 71 x 4 + 37

We consider the new divisor 71 and the new remainder 37,and apply the division lemma to get

71 = 37 x 1 + 34

We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get

37 = 34 x 1 + 3

We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get

34 = 3 x 11 + 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 713 and 1747 is 1

Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(71,37) = HCF(321,71) = HCF(713,321) = HCF(1747,713) .

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

Step 1: Since 4435 > 1, we apply the division lemma to 4435 and 1, to get

4435 = 1 x 4435 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4435 is 1

Notice that 1 = HCF(4435,1) .

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Frequently Asked Questions on HCF of 713, 1747, 4435 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, 1747, 4435?

Answer: HCF of 713, 1747, 4435 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 713, 1747, 4435 using Euclid's Algorithm?

Answer: For arbitrary numbers 713, 1747, 4435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.