Highest Common Factor of 571, 7248, 5257 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 571, 7248, 5257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 571, 7248, 5257 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 571, 7248, 5257 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 571, 7248, 5257 is 1.

HCF(571, 7248, 5257) = 1

HCF of 571, 7248, 5257 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 571, 7248, 5257 is 1.

Highest Common Factor of 571,7248,5257 using Euclid's algorithm

Highest Common Factor of 571,7248,5257 is 1

Step 1: Since 7248 > 571, we apply the division lemma to 7248 and 571, to get

7248 = 571 x 12 + 396

Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 396 and 571, to get

571 = 396 x 1 + 175

Step 3: We consider the new divisor 396 and the new remainder 175, and apply the division lemma to get

396 = 175 x 2 + 46

We consider the new divisor 175 and the new remainder 46,and apply the division lemma to get

175 = 46 x 3 + 37

We consider the new divisor 46 and the new remainder 37,and apply the division lemma to get

46 = 37 x 1 + 9

We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get

37 = 9 x 4 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 7248 is 1

Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(46,37) = HCF(175,46) = HCF(396,175) = HCF(571,396) = HCF(7248,571) .

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

Step 1: Since 5257 > 1, we apply the division lemma to 5257 and 1, to get

5257 = 1 x 5257 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5257 is 1

Notice that 1 = HCF(5257,1) .

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Frequently Asked Questions on HCF of 571, 7248, 5257 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 571, 7248, 5257?

Answer: HCF of 571, 7248, 5257 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 571, 7248, 5257 using Euclid's Algorithm?

Answer: For arbitrary numbers 571, 7248, 5257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.