Highest Common Factor of 7817, 9298, 92109 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 7817, 9298, 92109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7817, 9298, 92109 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 7817, 9298, 92109 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 7817, 9298, 92109 is 1.

HCF(7817, 9298, 92109) = 1

HCF of 7817, 9298, 92109 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 7817, 9298, 92109 is 1.

Highest Common Factor of 7817,9298,92109 using Euclid's algorithm

Highest Common Factor of 7817,9298,92109 is 1

Step 1: Since 9298 > 7817, we apply the division lemma to 9298 and 7817, to get

9298 = 7817 x 1 + 1481

Step 2: Since the reminder 7817 ≠ 0, we apply division lemma to 1481 and 7817, to get

7817 = 1481 x 5 + 412

Step 3: We consider the new divisor 1481 and the new remainder 412, and apply the division lemma to get

1481 = 412 x 3 + 245

We consider the new divisor 412 and the new remainder 245,and apply the division lemma to get

412 = 245 x 1 + 167

We consider the new divisor 245 and the new remainder 167,and apply the division lemma to get

245 = 167 x 1 + 78

We consider the new divisor 167 and the new remainder 78,and apply the division lemma to get

167 = 78 x 2 + 11

We consider the new divisor 78 and the new remainder 11,and apply the division lemma to get

78 = 11 x 7 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7817 and 9298 is 1

Notice that 1 = HCF(11,1) = HCF(78,11) = HCF(167,78) = HCF(245,167) = HCF(412,245) = HCF(1481,412) = HCF(7817,1481) = HCF(9298,7817) .

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

Step 1: Since 92109 > 1, we apply the division lemma to 92109 and 1, to get

92109 = 1 x 92109 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92109 is 1

Notice that 1 = HCF(92109,1) .

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Frequently Asked Questions on HCF of 7817, 9298, 92109 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 7817, 9298, 92109?

Answer: HCF of 7817, 9298, 92109 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7817, 9298, 92109 using Euclid's Algorithm?

Answer: For arbitrary numbers 7817, 9298, 92109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.