Highest Common Factor of 5212, 8121, 80542 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 5212, 8121, 80542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5212, 8121, 80542 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 5212, 8121, 80542 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 5212, 8121, 80542 is 1.

HCF(5212, 8121, 80542) = 1

HCF of 5212, 8121, 80542 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 5212, 8121, 80542 is 1.

Highest Common Factor of 5212,8121,80542 using Euclid's algorithm

Highest Common Factor of 5212,8121,80542 is 1

Step 1: Since 8121 > 5212, we apply the division lemma to 8121 and 5212, to get

8121 = 5212 x 1 + 2909

Step 2: Since the reminder 5212 ≠ 0, we apply division lemma to 2909 and 5212, to get

5212 = 2909 x 1 + 2303

Step 3: We consider the new divisor 2909 and the new remainder 2303, and apply the division lemma to get

2909 = 2303 x 1 + 606

We consider the new divisor 2303 and the new remainder 606,and apply the division lemma to get

2303 = 606 x 3 + 485

We consider the new divisor 606 and the new remainder 485,and apply the division lemma to get

606 = 485 x 1 + 121

We consider the new divisor 485 and the new remainder 121,and apply the division lemma to get

485 = 121 x 4 + 1

We consider the new divisor 121 and the new remainder 1,and apply the division lemma to get

121 = 1 x 121 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5212 and 8121 is 1

Notice that 1 = HCF(121,1) = HCF(485,121) = HCF(606,485) = HCF(2303,606) = HCF(2909,2303) = HCF(5212,2909) = HCF(8121,5212) .

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

Step 1: Since 80542 > 1, we apply the division lemma to 80542 and 1, to get

80542 = 1 x 80542 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80542 is 1

Notice that 1 = HCF(80542,1) .

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Frequently Asked Questions on HCF of 5212, 8121, 80542 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 5212, 8121, 80542?

Answer: HCF of 5212, 8121, 80542 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5212, 8121, 80542 using Euclid's Algorithm?

Answer: For arbitrary numbers 5212, 8121, 80542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.