Highest Common Factor of 4092, 9797, 25740 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 4092, 9797, 25740 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4092, 9797, 25740 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 4092, 9797, 25740 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 4092, 9797, 25740 is 1.

HCF(4092, 9797, 25740) = 1

HCF of 4092, 9797, 25740 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 4092, 9797, 25740 is 1.

Highest Common Factor of 4092,9797,25740 using Euclid's algorithm

Highest Common Factor of 4092,9797,25740 is 1

Step 1: Since 9797 > 4092, we apply the division lemma to 9797 and 4092, to get

9797 = 4092 x 2 + 1613

Step 2: Since the reminder 4092 ≠ 0, we apply division lemma to 1613 and 4092, to get

4092 = 1613 x 2 + 866

Step 3: We consider the new divisor 1613 and the new remainder 866, and apply the division lemma to get

1613 = 866 x 1 + 747

We consider the new divisor 866 and the new remainder 747,and apply the division lemma to get

866 = 747 x 1 + 119

We consider the new divisor 747 and the new remainder 119,and apply the division lemma to get

747 = 119 x 6 + 33

We consider the new divisor 119 and the new remainder 33,and apply the division lemma to get

119 = 33 x 3 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4092 and 9797 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(119,33) = HCF(747,119) = HCF(866,747) = HCF(1613,866) = HCF(4092,1613) = HCF(9797,4092) .

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

Step 1: Since 25740 > 1, we apply the division lemma to 25740 and 1, to get

25740 = 1 x 25740 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25740 is 1

Notice that 1 = HCF(25740,1) .

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Frequently Asked Questions on HCF of 4092, 9797, 25740 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 4092, 9797, 25740?

Answer: HCF of 4092, 9797, 25740 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4092, 9797, 25740 using Euclid's Algorithm?

Answer: For arbitrary numbers 4092, 9797, 25740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.