Highest Common Factor of 9795, 3871, 72554 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 9795, 3871, 72554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9795, 3871, 72554 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 9795, 3871, 72554 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 9795, 3871, 72554 is 1.

HCF(9795, 3871, 72554) = 1

HCF of 9795, 3871, 72554 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 9795, 3871, 72554 is 1.

Highest Common Factor of 9795,3871,72554 using Euclid's algorithm

Highest Common Factor of 9795,3871,72554 is 1

Step 1: Since 9795 > 3871, we apply the division lemma to 9795 and 3871, to get

9795 = 3871 x 2 + 2053

Step 2: Since the reminder 3871 ≠ 0, we apply division lemma to 2053 and 3871, to get

3871 = 2053 x 1 + 1818

Step 3: We consider the new divisor 2053 and the new remainder 1818, and apply the division lemma to get

2053 = 1818 x 1 + 235

We consider the new divisor 1818 and the new remainder 235,and apply the division lemma to get

1818 = 235 x 7 + 173

We consider the new divisor 235 and the new remainder 173,and apply the division lemma to get

235 = 173 x 1 + 62

We consider the new divisor 173 and the new remainder 62,and apply the division lemma to get

173 = 62 x 2 + 49

We consider the new divisor 62 and the new remainder 49,and apply the division lemma to get

62 = 49 x 1 + 13

We consider the new divisor 49 and the new remainder 13,and apply the division lemma to get

49 = 13 x 3 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9795 and 3871 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(49,13) = HCF(62,49) = HCF(173,62) = HCF(235,173) = HCF(1818,235) = HCF(2053,1818) = HCF(3871,2053) = HCF(9795,3871) .

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

Step 1: Since 72554 > 1, we apply the division lemma to 72554 and 1, to get

72554 = 1 x 72554 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72554 is 1

Notice that 1 = HCF(72554,1) .

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Frequently Asked Questions on HCF of 9795, 3871, 72554 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 9795, 3871, 72554?

Answer: HCF of 9795, 3871, 72554 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9795, 3871, 72554 using Euclid's Algorithm?

Answer: For arbitrary numbers 9795, 3871, 72554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.