Highest Common Factor of 710, 857, 511 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 710, 857, 511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 710, 857, 511 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 710, 857, 511 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 710, 857, 511 is 1.

HCF(710, 857, 511) = 1

HCF of 710, 857, 511 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 710, 857, 511 is 1.

Highest Common Factor of 710,857,511 using Euclid's algorithm

Highest Common Factor of 710,857,511 is 1

Step 1: Since 857 > 710, we apply the division lemma to 857 and 710, to get

857 = 710 x 1 + 147

Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 147 and 710, to get

710 = 147 x 4 + 122

Step 3: We consider the new divisor 147 and the new remainder 122, and apply the division lemma to get

147 = 122 x 1 + 25

We consider the new divisor 122 and the new remainder 25,and apply the division lemma to get

122 = 25 x 4 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 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 710 and 857 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(122,25) = HCF(147,122) = HCF(710,147) = HCF(857,710) .

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

Step 1: Since 511 > 1, we apply the division lemma to 511 and 1, to get

511 = 1 x 511 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 511 is 1

Notice that 1 = HCF(511,1) .

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Frequently Asked Questions on HCF of 710, 857, 511 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 710, 857, 511?

Answer: HCF of 710, 857, 511 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 710, 857, 511 using Euclid's Algorithm?

Answer: For arbitrary numbers 710, 857, 511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.