Highest Common Factor of 6673, 4020, 99872 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 6673, 4020, 99872 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6673, 4020, 99872 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 6673, 4020, 99872 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 6673, 4020, 99872 is 1.

HCF(6673, 4020, 99872) = 1

HCF of 6673, 4020, 99872 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 6673, 4020, 99872 is 1.

Highest Common Factor of 6673,4020,99872 using Euclid's algorithm

Highest Common Factor of 6673,4020,99872 is 1

Step 1: Since 6673 > 4020, we apply the division lemma to 6673 and 4020, to get

6673 = 4020 x 1 + 2653

Step 2: Since the reminder 4020 ≠ 0, we apply division lemma to 2653 and 4020, to get

4020 = 2653 x 1 + 1367

Step 3: We consider the new divisor 2653 and the new remainder 1367, and apply the division lemma to get

2653 = 1367 x 1 + 1286

We consider the new divisor 1367 and the new remainder 1286,and apply the division lemma to get

1367 = 1286 x 1 + 81

We consider the new divisor 1286 and the new remainder 81,and apply the division lemma to get

1286 = 81 x 15 + 71

We consider the new divisor 81 and the new remainder 71,and apply the division lemma to get

81 = 71 x 1 + 10

We consider the new divisor 71 and the new remainder 10,and apply the division lemma to get

71 = 10 x 7 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6673 and 4020 is 1

Notice that 1 = HCF(10,1) = HCF(71,10) = HCF(81,71) = HCF(1286,81) = HCF(1367,1286) = HCF(2653,1367) = HCF(4020,2653) = HCF(6673,4020) .

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

Step 1: Since 99872 > 1, we apply the division lemma to 99872 and 1, to get

99872 = 1 x 99872 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99872 is 1

Notice that 1 = HCF(99872,1) .

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Frequently Asked Questions on HCF of 6673, 4020, 99872 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 6673, 4020, 99872?

Answer: HCF of 6673, 4020, 99872 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6673, 4020, 99872 using Euclid's Algorithm?

Answer: For arbitrary numbers 6673, 4020, 99872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.