Highest Common Factor of 3549, 6270, 68905 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 3549, 6270, 68905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3549, 6270, 68905 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 3549, 6270, 68905 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 3549, 6270, 68905 is 1.

HCF(3549, 6270, 68905) = 1

HCF of 3549, 6270, 68905 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 3549, 6270, 68905 is 1.

Highest Common Factor of 3549,6270,68905 using Euclid's algorithm

Highest Common Factor of 3549,6270,68905 is 1

Step 1: Since 6270 > 3549, we apply the division lemma to 6270 and 3549, to get

6270 = 3549 x 1 + 2721

Step 2: Since the reminder 3549 ≠ 0, we apply division lemma to 2721 and 3549, to get

3549 = 2721 x 1 + 828

Step 3: We consider the new divisor 2721 and the new remainder 828, and apply the division lemma to get

2721 = 828 x 3 + 237

We consider the new divisor 828 and the new remainder 237,and apply the division lemma to get

828 = 237 x 3 + 117

We consider the new divisor 237 and the new remainder 117,and apply the division lemma to get

237 = 117 x 2 + 3

We consider the new divisor 117 and the new remainder 3,and apply the division lemma to get

117 = 3 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3549 and 6270 is 3

Notice that 3 = HCF(117,3) = HCF(237,117) = HCF(828,237) = HCF(2721,828) = HCF(3549,2721) = HCF(6270,3549) .

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

Step 1: Since 68905 > 3, we apply the division lemma to 68905 and 3, to get

68905 = 3 x 22968 + 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 68905 is 1

Notice that 1 = HCF(3,1) = HCF(68905,3) .

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Frequently Asked Questions on HCF of 3549, 6270, 68905 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 3549, 6270, 68905?

Answer: HCF of 3549, 6270, 68905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3549, 6270, 68905 using Euclid's Algorithm?

Answer: For arbitrary numbers 3549, 6270, 68905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.