Highest Common Factor of 4168, 6533 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 4168, 6533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4168, 6533 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 4168, 6533 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 4168, 6533 is 1.

HCF(4168, 6533) = 1

HCF of 4168, 6533 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4168, 6533 is 1.

Highest Common Factor of 4168,6533 using Euclid's algorithm

Highest Common Factor of 4168,6533 is 1

Step 1: Since 6533 > 4168, we apply the division lemma to 6533 and 4168, to get

6533 = 4168 x 1 + 2365

Step 2: Since the reminder 4168 ≠ 0, we apply division lemma to 2365 and 4168, to get

4168 = 2365 x 1 + 1803

Step 3: We consider the new divisor 2365 and the new remainder 1803, and apply the division lemma to get

2365 = 1803 x 1 + 562

We consider the new divisor 1803 and the new remainder 562,and apply the division lemma to get

1803 = 562 x 3 + 117

We consider the new divisor 562 and the new remainder 117,and apply the division lemma to get

562 = 117 x 4 + 94

We consider the new divisor 117 and the new remainder 94,and apply the division lemma to get

117 = 94 x 1 + 23

We consider the new divisor 94 and the new remainder 23,and apply the division lemma to get

94 = 23 x 4 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 4168 and 6533 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(94,23) = HCF(117,94) = HCF(562,117) = HCF(1803,562) = HCF(2365,1803) = HCF(4168,2365) = HCF(6533,4168) .

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Frequently Asked Questions on HCF of 4168, 6533 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 4168, 6533?

Answer: HCF of 4168, 6533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4168, 6533 using Euclid's Algorithm?

Answer: For arbitrary numbers 4168, 6533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.