Highest Common Factor of 4148, 8103, 95197 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 4148, 8103, 95197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4148, 8103, 95197 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 4148, 8103, 95197 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 4148, 8103, 95197 is 1.

HCF(4148, 8103, 95197) = 1

HCF of 4148, 8103, 95197 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 4148, 8103, 95197 is 1.

Highest Common Factor of 4148,8103,95197 using Euclid's algorithm

Highest Common Factor of 4148,8103,95197 is 1

Step 1: Since 8103 > 4148, we apply the division lemma to 8103 and 4148, to get

8103 = 4148 x 1 + 3955

Step 2: Since the reminder 4148 ≠ 0, we apply division lemma to 3955 and 4148, to get

4148 = 3955 x 1 + 193

Step 3: We consider the new divisor 3955 and the new remainder 193, and apply the division lemma to get

3955 = 193 x 20 + 95

We consider the new divisor 193 and the new remainder 95,and apply the division lemma to get

193 = 95 x 2 + 3

We consider the new divisor 95 and the new remainder 3,and apply the division lemma to get

95 = 3 x 31 + 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 4148 and 8103 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(95,3) = HCF(193,95) = HCF(3955,193) = HCF(4148,3955) = HCF(8103,4148) .

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

Step 1: Since 95197 > 1, we apply the division lemma to 95197 and 1, to get

95197 = 1 x 95197 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95197 is 1

Notice that 1 = HCF(95197,1) .

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Frequently Asked Questions on HCF of 4148, 8103, 95197 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 4148, 8103, 95197?

Answer: HCF of 4148, 8103, 95197 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4148, 8103, 95197 using Euclid's Algorithm?

Answer: For arbitrary numbers 4148, 8103, 95197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.