Highest Common Factor of 835, 525, 234 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 835, 525, 234 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 835, 525, 234 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 835, 525, 234 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 835, 525, 234 is 1.

HCF(835, 525, 234) = 1

HCF of 835, 525, 234 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 835, 525, 234 is 1.

Highest Common Factor of 835,525,234 using Euclid's algorithm

Highest Common Factor of 835,525,234 is 1

Step 1: Since 835 > 525, we apply the division lemma to 835 and 525, to get

835 = 525 x 1 + 310

Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 310 and 525, to get

525 = 310 x 1 + 215

Step 3: We consider the new divisor 310 and the new remainder 215, and apply the division lemma to get

310 = 215 x 1 + 95

We consider the new divisor 215 and the new remainder 95,and apply the division lemma to get

215 = 95 x 2 + 25

We consider the new divisor 95 and the new remainder 25,and apply the division lemma to get

95 = 25 x 3 + 20

We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get

25 = 20 x 1 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 835 and 525 is 5

Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(95,25) = HCF(215,95) = HCF(310,215) = HCF(525,310) = HCF(835,525) .

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

Step 1: Since 234 > 5, we apply the division lemma to 234 and 5, to get

234 = 5 x 46 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 234 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(234,5) .

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Frequently Asked Questions on HCF of 835, 525, 234 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 835, 525, 234?

Answer: HCF of 835, 525, 234 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 835, 525, 234 using Euclid's Algorithm?

Answer: For arbitrary numbers 835, 525, 234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.