Highest Common Factor of 7524, 1711, 99482 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 7524, 1711, 99482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7524, 1711, 99482 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 7524, 1711, 99482 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 7524, 1711, 99482 is 1.

HCF(7524, 1711, 99482) = 1

HCF of 7524, 1711, 99482 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 7524, 1711, 99482 is 1.

Highest Common Factor of 7524,1711,99482 using Euclid's algorithm

Highest Common Factor of 7524,1711,99482 is 1

Step 1: Since 7524 > 1711, we apply the division lemma to 7524 and 1711, to get

7524 = 1711 x 4 + 680

Step 2: Since the reminder 1711 ≠ 0, we apply division lemma to 680 and 1711, to get

1711 = 680 x 2 + 351

Step 3: We consider the new divisor 680 and the new remainder 351, and apply the division lemma to get

680 = 351 x 1 + 329

We consider the new divisor 351 and the new remainder 329,and apply the division lemma to get

351 = 329 x 1 + 22

We consider the new divisor 329 and the new remainder 22,and apply the division lemma to get

329 = 22 x 14 + 21

We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get

22 = 21 x 1 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7524 and 1711 is 1

Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(329,22) = HCF(351,329) = HCF(680,351) = HCF(1711,680) = HCF(7524,1711) .

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

Step 1: Since 99482 > 1, we apply the division lemma to 99482 and 1, to get

99482 = 1 x 99482 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99482 is 1

Notice that 1 = HCF(99482,1) .

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Frequently Asked Questions on HCF of 7524, 1711, 99482 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 7524, 1711, 99482?

Answer: HCF of 7524, 1711, 99482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7524, 1711, 99482 using Euclid's Algorithm?

Answer: For arbitrary numbers 7524, 1711, 99482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.