Highest Common Factor of 3073, 5024, 10400 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 3073, 5024, 10400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3073, 5024, 10400 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 3073, 5024, 10400 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 3073, 5024, 10400 is 1.

HCF(3073, 5024, 10400) = 1

HCF of 3073, 5024, 10400 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 3073, 5024, 10400 is 1.

Highest Common Factor of 3073,5024,10400 using Euclid's algorithm

Highest Common Factor of 3073,5024,10400 is 1

Step 1: Since 5024 > 3073, we apply the division lemma to 5024 and 3073, to get

5024 = 3073 x 1 + 1951

Step 2: Since the reminder 3073 ≠ 0, we apply division lemma to 1951 and 3073, to get

3073 = 1951 x 1 + 1122

Step 3: We consider the new divisor 1951 and the new remainder 1122, and apply the division lemma to get

1951 = 1122 x 1 + 829

We consider the new divisor 1122 and the new remainder 829,and apply the division lemma to get

1122 = 829 x 1 + 293

We consider the new divisor 829 and the new remainder 293,and apply the division lemma to get

829 = 293 x 2 + 243

We consider the new divisor 293 and the new remainder 243,and apply the division lemma to get

293 = 243 x 1 + 50

We consider the new divisor 243 and the new remainder 50,and apply the division lemma to get

243 = 50 x 4 + 43

We consider the new divisor 50 and the new remainder 43,and apply the division lemma to get

50 = 43 x 1 + 7

We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get

43 = 7 x 6 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3073 and 5024 is 1

Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(50,43) = HCF(243,50) = HCF(293,243) = HCF(829,293) = HCF(1122,829) = HCF(1951,1122) = HCF(3073,1951) = HCF(5024,3073) .

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

Step 1: Since 10400 > 1, we apply the division lemma to 10400 and 1, to get

10400 = 1 x 10400 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10400 is 1

Notice that 1 = HCF(10400,1) .

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Frequently Asked Questions on HCF of 3073, 5024, 10400 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 3073, 5024, 10400?

Answer: HCF of 3073, 5024, 10400 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3073, 5024, 10400 using Euclid's Algorithm?

Answer: For arbitrary numbers 3073, 5024, 10400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.