Highest Common Factor of 717, 1870 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 717, 1870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 717, 1870 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 717, 1870 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 717, 1870 is 1.

HCF(717, 1870) = 1

HCF of 717, 1870 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 717, 1870 is 1.

Highest Common Factor of 717,1870 using Euclid's algorithm

Highest Common Factor of 717,1870 is 1

Step 1: Since 1870 > 717, we apply the division lemma to 1870 and 717, to get

1870 = 717 x 2 + 436

Step 2: Since the reminder 717 ≠ 0, we apply division lemma to 436 and 717, to get

717 = 436 x 1 + 281

Step 3: We consider the new divisor 436 and the new remainder 281, and apply the division lemma to get

436 = 281 x 1 + 155

We consider the new divisor 281 and the new remainder 155,and apply the division lemma to get

281 = 155 x 1 + 126

We consider the new divisor 155 and the new remainder 126,and apply the division lemma to get

155 = 126 x 1 + 29

We consider the new divisor 126 and the new remainder 29,and apply the division lemma to get

126 = 29 x 4 + 10

We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get

29 = 10 x 2 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 717 and 1870 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(126,29) = HCF(155,126) = HCF(281,155) = HCF(436,281) = HCF(717,436) = HCF(1870,717) .

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Frequently Asked Questions on HCF of 717, 1870 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 717, 1870?

Answer: HCF of 717, 1870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 717, 1870 using Euclid's Algorithm?

Answer: For arbitrary numbers 717, 1870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.