Highest Common Factor of 242, 7842, 9081 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 242, 7842, 9081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 242, 7842, 9081 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 242, 7842, 9081 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 242, 7842, 9081 is 1.

HCF(242, 7842, 9081) = 1

HCF of 242, 7842, 9081 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 242, 7842, 9081 is 1.

Highest Common Factor of 242,7842,9081 using Euclid's algorithm

Highest Common Factor of 242,7842,9081 is 1

Step 1: Since 7842 > 242, we apply the division lemma to 7842 and 242, to get

7842 = 242 x 32 + 98

Step 2: Since the reminder 242 ≠ 0, we apply division lemma to 98 and 242, to get

242 = 98 x 2 + 46

Step 3: We consider the new divisor 98 and the new remainder 46, and apply the division lemma to get

98 = 46 x 2 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 242 and 7842 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(98,46) = HCF(242,98) = HCF(7842,242) .

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

Step 1: Since 9081 > 2, we apply the division lemma to 9081 and 2, to get

9081 = 2 x 4540 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 9081 is 1

Notice that 1 = HCF(2,1) = HCF(9081,2) .

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Frequently Asked Questions on HCF of 242, 7842, 9081 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 242, 7842, 9081?

Answer: HCF of 242, 7842, 9081 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 242, 7842, 9081 using Euclid's Algorithm?

Answer: For arbitrary numbers 242, 7842, 9081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.