Highest Common Factor of 6191, 4375, 13203 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 6191, 4375, 13203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6191, 4375, 13203 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 6191, 4375, 13203 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 6191, 4375, 13203 is 1.

HCF(6191, 4375, 13203) = 1

HCF of 6191, 4375, 13203 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 6191, 4375, 13203 is 1.

Highest Common Factor of 6191,4375,13203 using Euclid's algorithm

Highest Common Factor of 6191,4375,13203 is 1

Step 1: Since 6191 > 4375, we apply the division lemma to 6191 and 4375, to get

6191 = 4375 x 1 + 1816

Step 2: Since the reminder 4375 ≠ 0, we apply division lemma to 1816 and 4375, to get

4375 = 1816 x 2 + 743

Step 3: We consider the new divisor 1816 and the new remainder 743, and apply the division lemma to get

1816 = 743 x 2 + 330

We consider the new divisor 743 and the new remainder 330,and apply the division lemma to get

743 = 330 x 2 + 83

We consider the new divisor 330 and the new remainder 83,and apply the division lemma to get

330 = 83 x 3 + 81

We consider the new divisor 83 and the new remainder 81,and apply the division lemma to get

83 = 81 x 1 + 2

We consider the new divisor 81 and the new remainder 2,and apply the division lemma to get

81 = 2 x 40 + 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 6191 and 4375 is 1

Notice that 1 = HCF(2,1) = HCF(81,2) = HCF(83,81) = HCF(330,83) = HCF(743,330) = HCF(1816,743) = HCF(4375,1816) = HCF(6191,4375) .

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

Step 1: Since 13203 > 1, we apply the division lemma to 13203 and 1, to get

13203 = 1 x 13203 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13203 is 1

Notice that 1 = HCF(13203,1) .

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Frequently Asked Questions on HCF of 6191, 4375, 13203 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 6191, 4375, 13203?

Answer: HCF of 6191, 4375, 13203 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6191, 4375, 13203 using Euclid's Algorithm?

Answer: For arbitrary numbers 6191, 4375, 13203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.