Highest Common Factor of 7651, 5592, 83253 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 7651, 5592, 83253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7651, 5592, 83253 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 7651, 5592, 83253 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 7651, 5592, 83253 is 1.

HCF(7651, 5592, 83253) = 1

HCF of 7651, 5592, 83253 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 7651, 5592, 83253 is 1.

Highest Common Factor of 7651,5592,83253 using Euclid's algorithm

Highest Common Factor of 7651,5592,83253 is 1

Step 1: Since 7651 > 5592, we apply the division lemma to 7651 and 5592, to get

7651 = 5592 x 1 + 2059

Step 2: Since the reminder 5592 ≠ 0, we apply division lemma to 2059 and 5592, to get

5592 = 2059 x 2 + 1474

Step 3: We consider the new divisor 2059 and the new remainder 1474, and apply the division lemma to get

2059 = 1474 x 1 + 585

We consider the new divisor 1474 and the new remainder 585,and apply the division lemma to get

1474 = 585 x 2 + 304

We consider the new divisor 585 and the new remainder 304,and apply the division lemma to get

585 = 304 x 1 + 281

We consider the new divisor 304 and the new remainder 281,and apply the division lemma to get

304 = 281 x 1 + 23

We consider the new divisor 281 and the new remainder 23,and apply the division lemma to get

281 = 23 x 12 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7651 and 5592 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(281,23) = HCF(304,281) = HCF(585,304) = HCF(1474,585) = HCF(2059,1474) = HCF(5592,2059) = HCF(7651,5592) .

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

Step 1: Since 83253 > 1, we apply the division lemma to 83253 and 1, to get

83253 = 1 x 83253 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83253 is 1

Notice that 1 = HCF(83253,1) .

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Frequently Asked Questions on HCF of 7651, 5592, 83253 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 7651, 5592, 83253?

Answer: HCF of 7651, 5592, 83253 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7651, 5592, 83253 using Euclid's Algorithm?

Answer: For arbitrary numbers 7651, 5592, 83253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.