Highest Common Factor of 856, 529, 290 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 856, 529, 290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 856, 529, 290 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 856, 529, 290 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 856, 529, 290 is 1.

HCF(856, 529, 290) = 1

HCF of 856, 529, 290 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 856, 529, 290 is 1.

Highest Common Factor of 856,529,290 using Euclid's algorithm

Highest Common Factor of 856,529,290 is 1

Step 1: Since 856 > 529, we apply the division lemma to 856 and 529, to get

856 = 529 x 1 + 327

Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 327 and 529, to get

529 = 327 x 1 + 202

Step 3: We consider the new divisor 327 and the new remainder 202, and apply the division lemma to get

327 = 202 x 1 + 125

We consider the new divisor 202 and the new remainder 125,and apply the division lemma to get

202 = 125 x 1 + 77

We consider the new divisor 125 and the new remainder 77,and apply the division lemma to get

125 = 77 x 1 + 48

We consider the new divisor 77 and the new remainder 48,and apply the division lemma to get

77 = 48 x 1 + 29

We consider the new divisor 48 and the new remainder 29,and apply the division lemma to get

48 = 29 x 1 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 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 856 and 529 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(48,29) = HCF(77,48) = HCF(125,77) = HCF(202,125) = HCF(327,202) = HCF(529,327) = HCF(856,529) .

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

Step 1: Since 290 > 1, we apply the division lemma to 290 and 1, to get

290 = 1 x 290 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 290 is 1

Notice that 1 = HCF(290,1) .

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Frequently Asked Questions on HCF of 856, 529, 290 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 856, 529, 290?

Answer: HCF of 856, 529, 290 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 856, 529, 290 using Euclid's Algorithm?

Answer: For arbitrary numbers 856, 529, 290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.