Highest Common Factor of 4275, 6789, 73888 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 4275, 6789, 73888 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4275, 6789, 73888 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 4275, 6789, 73888 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 4275, 6789, 73888 is 1.

HCF(4275, 6789, 73888) = 1

HCF of 4275, 6789, 73888 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 4275, 6789, 73888 is 1.

Highest Common Factor of 4275,6789,73888 using Euclid's algorithm

Highest Common Factor of 4275,6789,73888 is 1

Step 1: Since 6789 > 4275, we apply the division lemma to 6789 and 4275, to get

6789 = 4275 x 1 + 2514

Step 2: Since the reminder 4275 ≠ 0, we apply division lemma to 2514 and 4275, to get

4275 = 2514 x 1 + 1761

Step 3: We consider the new divisor 2514 and the new remainder 1761, and apply the division lemma to get

2514 = 1761 x 1 + 753

We consider the new divisor 1761 and the new remainder 753,and apply the division lemma to get

1761 = 753 x 2 + 255

We consider the new divisor 753 and the new remainder 255,and apply the division lemma to get

753 = 255 x 2 + 243

We consider the new divisor 255 and the new remainder 243,and apply the division lemma to get

255 = 243 x 1 + 12

We consider the new divisor 243 and the new remainder 12,and apply the division lemma to get

243 = 12 x 20 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4275 and 6789 is 3

Notice that 3 = HCF(12,3) = HCF(243,12) = HCF(255,243) = HCF(753,255) = HCF(1761,753) = HCF(2514,1761) = HCF(4275,2514) = HCF(6789,4275) .

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

Step 1: Since 73888 > 3, we apply the division lemma to 73888 and 3, to get

73888 = 3 x 24629 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 73888 is 1

Notice that 1 = HCF(3,1) = HCF(73888,3) .

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Frequently Asked Questions on HCF of 4275, 6789, 73888 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 4275, 6789, 73888?

Answer: HCF of 4275, 6789, 73888 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4275, 6789, 73888 using Euclid's Algorithm?

Answer: For arbitrary numbers 4275, 6789, 73888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.