Highest Common Factor of 4182, 7627, 89580 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 4182, 7627, 89580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4182, 7627, 89580 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 4182, 7627, 89580 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 4182, 7627, 89580 is 1.

HCF(4182, 7627, 89580) = 1

HCF of 4182, 7627, 89580 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 4182, 7627, 89580 is 1.

Highest Common Factor of 4182,7627,89580 using Euclid's algorithm

Highest Common Factor of 4182,7627,89580 is 1

Step 1: Since 7627 > 4182, we apply the division lemma to 7627 and 4182, to get

7627 = 4182 x 1 + 3445

Step 2: Since the reminder 4182 ≠ 0, we apply division lemma to 3445 and 4182, to get

4182 = 3445 x 1 + 737

Step 3: We consider the new divisor 3445 and the new remainder 737, and apply the division lemma to get

3445 = 737 x 4 + 497

We consider the new divisor 737 and the new remainder 497,and apply the division lemma to get

737 = 497 x 1 + 240

We consider the new divisor 497 and the new remainder 240,and apply the division lemma to get

497 = 240 x 2 + 17

We consider the new divisor 240 and the new remainder 17,and apply the division lemma to get

240 = 17 x 14 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 4182 and 7627 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(240,17) = HCF(497,240) = HCF(737,497) = HCF(3445,737) = HCF(4182,3445) = HCF(7627,4182) .

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

Step 1: Since 89580 > 1, we apply the division lemma to 89580 and 1, to get

89580 = 1 x 89580 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89580 is 1

Notice that 1 = HCF(89580,1) .

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Frequently Asked Questions on HCF of 4182, 7627, 89580 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 4182, 7627, 89580?

Answer: HCF of 4182, 7627, 89580 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4182, 7627, 89580 using Euclid's Algorithm?

Answer: For arbitrary numbers 4182, 7627, 89580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.