Highest Common Factor of 4675, 6538, 96204 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 4675, 6538, 96204 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4675, 6538, 96204 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 4675, 6538, 96204 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 4675, 6538, 96204 is 1.

HCF(4675, 6538, 96204) = 1

HCF of 4675, 6538, 96204 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 4675, 6538, 96204 is 1.

Highest Common Factor of 4675,6538,96204 using Euclid's algorithm

Highest Common Factor of 4675,6538,96204 is 1

Step 1: Since 6538 > 4675, we apply the division lemma to 6538 and 4675, to get

6538 = 4675 x 1 + 1863

Step 2: Since the reminder 4675 ≠ 0, we apply division lemma to 1863 and 4675, to get

4675 = 1863 x 2 + 949

Step 3: We consider the new divisor 1863 and the new remainder 949, and apply the division lemma to get

1863 = 949 x 1 + 914

We consider the new divisor 949 and the new remainder 914,and apply the division lemma to get

949 = 914 x 1 + 35

We consider the new divisor 914 and the new remainder 35,and apply the division lemma to get

914 = 35 x 26 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 4675 and 6538 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(914,35) = HCF(949,914) = HCF(1863,949) = HCF(4675,1863) = HCF(6538,4675) .

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

Step 1: Since 96204 > 1, we apply the division lemma to 96204 and 1, to get

96204 = 1 x 96204 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96204 is 1

Notice that 1 = HCF(96204,1) .

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Frequently Asked Questions on HCF of 4675, 6538, 96204 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 4675, 6538, 96204?

Answer: HCF of 4675, 6538, 96204 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4675, 6538, 96204 using Euclid's Algorithm?

Answer: For arbitrary numbers 4675, 6538, 96204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.