Highest Common Factor of 835, 880, 284 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, 880, 284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 835, 880, 284 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, 880, 284 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, 880, 284 is 1.

HCF(835, 880, 284) = 1

HCF of 835, 880, 284 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, 880, 284 is 1.

Highest Common Factor of 835,880,284 using Euclid's algorithm

Highest Common Factor of 835,880,284 is 1

Step 1: Since 880 > 835, we apply the division lemma to 880 and 835, to get

880 = 835 x 1 + 45

Step 2: Since the reminder 835 ≠ 0, we apply division lemma to 45 and 835, to get

835 = 45 x 18 + 25

Step 3: We consider the new divisor 45 and the new remainder 25, and apply the division lemma to get

45 = 25 x 1 + 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 880 is 5

Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(835,45) = HCF(880,835) .

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

Step 1: Since 284 > 5, we apply the division lemma to 284 and 5, to get

284 = 5 x 56 + 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 284 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(284,5) .

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Frequently Asked Questions on HCF of 835, 880, 284 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, 880, 284?

Answer: HCF of 835, 880, 284 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 835, 880, 284 using Euclid's Algorithm?

Answer: For arbitrary numbers 835, 880, 284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.