Highest Common Factor of 713, 861, 170 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, 861, 170 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 713, 861, 170 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, 861, 170 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, 861, 170 is 1.

HCF(713, 861, 170) = 1

HCF of 713, 861, 170 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, 861, 170 is 1.

Highest Common Factor of 713,861,170 using Euclid's algorithm

Highest Common Factor of 713,861,170 is 1

Step 1: Since 861 > 713, we apply the division lemma to 861 and 713, to get

861 = 713 x 1 + 148

Step 2: Since the reminder 713 ≠ 0, we apply division lemma to 148 and 713, to get

713 = 148 x 4 + 121

Step 3: We consider the new divisor 148 and the new remainder 121, and apply the division lemma to get

148 = 121 x 1 + 27

We consider the new divisor 121 and the new remainder 27,and apply the division lemma to get

121 = 27 x 4 + 13

We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get

27 = 13 x 2 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 713 and 861 is 1

Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(121,27) = HCF(148,121) = HCF(713,148) = HCF(861,713) .

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

Step 1: Since 170 > 1, we apply the division lemma to 170 and 1, to get

170 = 1 x 170 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 170 is 1

Notice that 1 = HCF(170,1) .

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Frequently Asked Questions on HCF of 713, 861, 170 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, 861, 170?

Answer: HCF of 713, 861, 170 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 713, 861, 170 using Euclid's Algorithm?

Answer: For arbitrary numbers 713, 861, 170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.