Highest Common Factor of 575, 926, 203 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 575, 926, 203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 575, 926, 203 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 575, 926, 203 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 575, 926, 203 is 1.

HCF(575, 926, 203) = 1

HCF of 575, 926, 203 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 575, 926, 203 is 1.

Highest Common Factor of 575,926,203 using Euclid's algorithm

Highest Common Factor of 575,926,203 is 1

Step 1: Since 926 > 575, we apply the division lemma to 926 and 575, to get

926 = 575 x 1 + 351

Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 351 and 575, to get

575 = 351 x 1 + 224

Step 3: We consider the new divisor 351 and the new remainder 224, and apply the division lemma to get

351 = 224 x 1 + 127

We consider the new divisor 224 and the new remainder 127,and apply the division lemma to get

224 = 127 x 1 + 97

We consider the new divisor 127 and the new remainder 97,and apply the division lemma to get

127 = 97 x 1 + 30

We consider the new divisor 97 and the new remainder 30,and apply the division lemma to get

97 = 30 x 3 + 7

We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get

30 = 7 x 4 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 575 and 926 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(97,30) = HCF(127,97) = HCF(224,127) = HCF(351,224) = HCF(575,351) = HCF(926,575) .

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

Step 1: Since 203 > 1, we apply the division lemma to 203 and 1, to get

203 = 1 x 203 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 203 is 1

Notice that 1 = HCF(203,1) .

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Frequently Asked Questions on HCF of 575, 926, 203 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 575, 926, 203?

Answer: HCF of 575, 926, 203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 575, 926, 203 using Euclid's Algorithm?

Answer: For arbitrary numbers 575, 926, 203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.