Highest Common Factor of 910, 592, 200 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 910, 592, 200 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 910, 592, 200 is 2 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 910, 592, 200 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 910, 592, 200 is 2.

HCF(910, 592, 200) = 2

HCF of 910, 592, 200 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 910, 592, 200 is 2.

Highest Common Factor of 910,592,200 using Euclid's algorithm

Highest Common Factor of 910,592,200 is 2

Step 1: Since 910 > 592, we apply the division lemma to 910 and 592, to get

910 = 592 x 1 + 318

Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 318 and 592, to get

592 = 318 x 1 + 274

Step 3: We consider the new divisor 318 and the new remainder 274, and apply the division lemma to get

318 = 274 x 1 + 44

We consider the new divisor 274 and the new remainder 44,and apply the division lemma to get

274 = 44 x 6 + 10

We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get

44 = 10 x 4 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 910 and 592 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(274,44) = HCF(318,274) = HCF(592,318) = HCF(910,592) .

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

Step 1: Since 200 > 2, we apply the division lemma to 200 and 2, to get

200 = 2 x 100 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 200 is 2

Notice that 2 = HCF(200,2) .

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Frequently Asked Questions on HCF of 910, 592, 200 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 910, 592, 200?

Answer: HCF of 910, 592, 200 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 910, 592, 200 using Euclid's Algorithm?

Answer: For arbitrary numbers 910, 592, 200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.