Highest Common Factor of 9375, 9901, 80400 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 9375, 9901, 80400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9375, 9901, 80400 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 9375, 9901, 80400 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 9375, 9901, 80400 is 1.

HCF(9375, 9901, 80400) = 1

HCF of 9375, 9901, 80400 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 9375, 9901, 80400 is 1.

Highest Common Factor of 9375,9901,80400 using Euclid's algorithm

Highest Common Factor of 9375,9901,80400 is 1

Step 1: Since 9901 > 9375, we apply the division lemma to 9901 and 9375, to get

9901 = 9375 x 1 + 526

Step 2: Since the reminder 9375 ≠ 0, we apply division lemma to 526 and 9375, to get

9375 = 526 x 17 + 433

Step 3: We consider the new divisor 526 and the new remainder 433, and apply the division lemma to get

526 = 433 x 1 + 93

We consider the new divisor 433 and the new remainder 93,and apply the division lemma to get

433 = 93 x 4 + 61

We consider the new divisor 93 and the new remainder 61,and apply the division lemma to get

93 = 61 x 1 + 32

We consider the new divisor 61 and the new remainder 32,and apply the division lemma to get

61 = 32 x 1 + 29

We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get

32 = 29 x 1 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 9375 and 9901 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(61,32) = HCF(93,61) = HCF(433,93) = HCF(526,433) = HCF(9375,526) = HCF(9901,9375) .

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

Step 1: Since 80400 > 1, we apply the division lemma to 80400 and 1, to get

80400 = 1 x 80400 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80400 is 1

Notice that 1 = HCF(80400,1) .

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Frequently Asked Questions on HCF of 9375, 9901, 80400 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 9375, 9901, 80400?

Answer: HCF of 9375, 9901, 80400 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9375, 9901, 80400 using Euclid's Algorithm?

Answer: For arbitrary numbers 9375, 9901, 80400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.