Highest Common Factor of 524, 303, 873, 735 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 524, 303, 873, 735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 524, 303, 873, 735 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 524, 303, 873, 735 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 524, 303, 873, 735 is 1.

HCF(524, 303, 873, 735) = 1

HCF of 524, 303, 873, 735 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 524, 303, 873, 735 is 1.

Highest Common Factor of 524,303,873,735 using Euclid's algorithm

Highest Common Factor of 524,303,873,735 is 1

Step 1: Since 524 > 303, we apply the division lemma to 524 and 303, to get

524 = 303 x 1 + 221

Step 2: Since the reminder 303 ≠ 0, we apply division lemma to 221 and 303, to get

303 = 221 x 1 + 82

Step 3: We consider the new divisor 221 and the new remainder 82, and apply the division lemma to get

221 = 82 x 2 + 57

We consider the new divisor 82 and the new remainder 57,and apply the division lemma to get

82 = 57 x 1 + 25

We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get

57 = 25 x 2 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 524 and 303 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(82,57) = HCF(221,82) = HCF(303,221) = HCF(524,303) .

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

Step 1: Since 873 > 1, we apply the division lemma to 873 and 1, to get

873 = 1 x 873 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 873 is 1

Notice that 1 = HCF(873,1) .

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

Step 1: Since 735 > 1, we apply the division lemma to 735 and 1, to get

735 = 1 x 735 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 735 is 1

Notice that 1 = HCF(735,1) .

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Frequently Asked Questions on HCF of 524, 303, 873, 735 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 524, 303, 873, 735?

Answer: HCF of 524, 303, 873, 735 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 524, 303, 873, 735 using Euclid's Algorithm?

Answer: For arbitrary numbers 524, 303, 873, 735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.