Highest Common Factor of 878, 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 878, 529, 290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 878, 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 878, 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 878, 529, 290 is 1.

HCF(878, 529, 290) = 1

HCF of 878, 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 878, 529, 290 is 1.

Highest Common Factor of 878,529,290 using Euclid's algorithm

Highest Common Factor of 878,529,290 is 1

Step 1: Since 878 > 529, we apply the division lemma to 878 and 529, to get

878 = 529 x 1 + 349

Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 349 and 529, to get

529 = 349 x 1 + 180

Step 3: We consider the new divisor 349 and the new remainder 180, and apply the division lemma to get

349 = 180 x 1 + 169

We consider the new divisor 180 and the new remainder 169,and apply the division lemma to get

180 = 169 x 1 + 11

We consider the new divisor 169 and the new remainder 11,and apply the division lemma to get

169 = 11 x 15 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 878 and 529 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(169,11) = HCF(180,169) = HCF(349,180) = HCF(529,349) = HCF(878,529) .

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) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 878, 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 878, 529, 290?

Answer: HCF of 878, 529, 290 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 878, 529, 290 using Euclid's Algorithm?

Answer: For arbitrary numbers 878, 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.