Highest Common Factor of 7074, 2935, 73548 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 7074, 2935, 73548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7074, 2935, 73548 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 7074, 2935, 73548 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 7074, 2935, 73548 is 1.

HCF(7074, 2935, 73548) = 1

HCF of 7074, 2935, 73548 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 7074, 2935, 73548 is 1.

Highest Common Factor of 7074,2935,73548 using Euclid's algorithm

Highest Common Factor of 7074,2935,73548 is 1

Step 1: Since 7074 > 2935, we apply the division lemma to 7074 and 2935, to get

7074 = 2935 x 2 + 1204

Step 2: Since the reminder 2935 ≠ 0, we apply division lemma to 1204 and 2935, to get

2935 = 1204 x 2 + 527

Step 3: We consider the new divisor 1204 and the new remainder 527, and apply the division lemma to get

1204 = 527 x 2 + 150

We consider the new divisor 527 and the new remainder 150,and apply the division lemma to get

527 = 150 x 3 + 77

We consider the new divisor 150 and the new remainder 77,and apply the division lemma to get

150 = 77 x 1 + 73

We consider the new divisor 77 and the new remainder 73,and apply the division lemma to get

77 = 73 x 1 + 4

We consider the new divisor 73 and the new remainder 4,and apply the division lemma to get

73 = 4 x 18 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7074 and 2935 is 1

Notice that 1 = HCF(4,1) = HCF(73,4) = HCF(77,73) = HCF(150,77) = HCF(527,150) = HCF(1204,527) = HCF(2935,1204) = HCF(7074,2935) .

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

Step 1: Since 73548 > 1, we apply the division lemma to 73548 and 1, to get

73548 = 1 x 73548 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73548 is 1

Notice that 1 = HCF(73548,1) .

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Frequently Asked Questions on HCF of 7074, 2935, 73548 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 7074, 2935, 73548?

Answer: HCF of 7074, 2935, 73548 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7074, 2935, 73548 using Euclid's Algorithm?

Answer: For arbitrary numbers 7074, 2935, 73548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.