Highest Common Factor of 475, 750, 896 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 475, 750, 896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 475, 750, 896 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 475, 750, 896 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 475, 750, 896 is 1.

HCF(475, 750, 896) = 1

HCF of 475, 750, 896 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 475, 750, 896 is 1.

Highest Common Factor of 475,750,896 using Euclid's algorithm

Highest Common Factor of 475,750,896 is 1

Step 1: Since 750 > 475, we apply the division lemma to 750 and 475, to get

750 = 475 x 1 + 275

Step 2: Since the reminder 475 ≠ 0, we apply division lemma to 275 and 475, to get

475 = 275 x 1 + 200

Step 3: We consider the new divisor 275 and the new remainder 200, and apply the division lemma to get

275 = 200 x 1 + 75

We consider the new divisor 200 and the new remainder 75,and apply the division lemma to get

200 = 75 x 2 + 50

We consider the new divisor 75 and the new remainder 50,and apply the division lemma to get

75 = 50 x 1 + 25

We consider the new divisor 50 and the new remainder 25,and apply the division lemma to get

50 = 25 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 475 and 750 is 25

Notice that 25 = HCF(50,25) = HCF(75,50) = HCF(200,75) = HCF(275,200) = HCF(475,275) = HCF(750,475) .

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

Step 1: Since 896 > 25, we apply the division lemma to 896 and 25, to get

896 = 25 x 35 + 21

Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 21 and 25, to get

25 = 21 x 1 + 4

Step 3: We consider the new divisor 21 and the new remainder 4, and apply the division lemma to get

21 = 4 x 5 + 1

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 25 and 896 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(896,25) .

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Frequently Asked Questions on HCF of 475, 750, 896 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 475, 750, 896?

Answer: HCF of 475, 750, 896 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 475, 750, 896 using Euclid's Algorithm?

Answer: For arbitrary numbers 475, 750, 896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.