Highest Common Factor of 9403, 6195, 35170 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 9403, 6195, 35170 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9403, 6195, 35170 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 9403, 6195, 35170 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 9403, 6195, 35170 is 1.

HCF(9403, 6195, 35170) = 1

HCF of 9403, 6195, 35170 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 9403, 6195, 35170 is 1.

Highest Common Factor of 9403,6195,35170 using Euclid's algorithm

Highest Common Factor of 9403,6195,35170 is 1

Step 1: Since 9403 > 6195, we apply the division lemma to 9403 and 6195, to get

9403 = 6195 x 1 + 3208

Step 2: Since the reminder 6195 ≠ 0, we apply division lemma to 3208 and 6195, to get

6195 = 3208 x 1 + 2987

Step 3: We consider the new divisor 3208 and the new remainder 2987, and apply the division lemma to get

3208 = 2987 x 1 + 221

We consider the new divisor 2987 and the new remainder 221,and apply the division lemma to get

2987 = 221 x 13 + 114

We consider the new divisor 221 and the new remainder 114,and apply the division lemma to get

221 = 114 x 1 + 107

We consider the new divisor 114 and the new remainder 107,and apply the division lemma to get

114 = 107 x 1 + 7

We consider the new divisor 107 and the new remainder 7,and apply the division lemma to get

107 = 7 x 15 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 9403 and 6195 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(107,7) = HCF(114,107) = HCF(221,114) = HCF(2987,221) = HCF(3208,2987) = HCF(6195,3208) = HCF(9403,6195) .

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

Step 1: Since 35170 > 1, we apply the division lemma to 35170 and 1, to get

35170 = 1 x 35170 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35170 is 1

Notice that 1 = HCF(35170,1) .

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Frequently Asked Questions on HCF of 9403, 6195, 35170 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 9403, 6195, 35170?

Answer: HCF of 9403, 6195, 35170 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9403, 6195, 35170 using Euclid's Algorithm?

Answer: For arbitrary numbers 9403, 6195, 35170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.