Highest Common Factor of 4725, 1394, 65300 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 4725, 1394, 65300 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4725, 1394, 65300 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 4725, 1394, 65300 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 4725, 1394, 65300 is 1.

HCF(4725, 1394, 65300) = 1

HCF of 4725, 1394, 65300 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 4725, 1394, 65300 is 1.

Highest Common Factor of 4725,1394,65300 using Euclid's algorithm

Highest Common Factor of 4725,1394,65300 is 1

Step 1: Since 4725 > 1394, we apply the division lemma to 4725 and 1394, to get

4725 = 1394 x 3 + 543

Step 2: Since the reminder 1394 ≠ 0, we apply division lemma to 543 and 1394, to get

1394 = 543 x 2 + 308

Step 3: We consider the new divisor 543 and the new remainder 308, and apply the division lemma to get

543 = 308 x 1 + 235

We consider the new divisor 308 and the new remainder 235,and apply the division lemma to get

308 = 235 x 1 + 73

We consider the new divisor 235 and the new remainder 73,and apply the division lemma to get

235 = 73 x 3 + 16

We consider the new divisor 73 and the new remainder 16,and apply the division lemma to get

73 = 16 x 4 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 4725 and 1394 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(73,16) = HCF(235,73) = HCF(308,235) = HCF(543,308) = HCF(1394,543) = HCF(4725,1394) .

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

Step 1: Since 65300 > 1, we apply the division lemma to 65300 and 1, to get

65300 = 1 x 65300 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65300 is 1

Notice that 1 = HCF(65300,1) .

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Frequently Asked Questions on HCF of 4725, 1394, 65300 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 4725, 1394, 65300?

Answer: HCF of 4725, 1394, 65300 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4725, 1394, 65300 using Euclid's Algorithm?

Answer: For arbitrary numbers 4725, 1394, 65300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.