Highest Common Factor of 6185, 2251, 69780 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 6185, 2251, 69780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6185, 2251, 69780 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 6185, 2251, 69780 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 6185, 2251, 69780 is 1.

HCF(6185, 2251, 69780) = 1

HCF of 6185, 2251, 69780 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 6185, 2251, 69780 is 1.

Highest Common Factor of 6185,2251,69780 using Euclid's algorithm

Highest Common Factor of 6185,2251,69780 is 1

Step 1: Since 6185 > 2251, we apply the division lemma to 6185 and 2251, to get

6185 = 2251 x 2 + 1683

Step 2: Since the reminder 2251 ≠ 0, we apply division lemma to 1683 and 2251, to get

2251 = 1683 x 1 + 568

Step 3: We consider the new divisor 1683 and the new remainder 568, and apply the division lemma to get

1683 = 568 x 2 + 547

We consider the new divisor 568 and the new remainder 547,and apply the division lemma to get

568 = 547 x 1 + 21

We consider the new divisor 547 and the new remainder 21,and apply the division lemma to get

547 = 21 x 26 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6185 and 2251 is 1

Notice that 1 = HCF(21,1) = HCF(547,21) = HCF(568,547) = HCF(1683,568) = HCF(2251,1683) = HCF(6185,2251) .

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

Step 1: Since 69780 > 1, we apply the division lemma to 69780 and 1, to get

69780 = 1 x 69780 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69780 is 1

Notice that 1 = HCF(69780,1) .

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Frequently Asked Questions on HCF of 6185, 2251, 69780 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 6185, 2251, 69780?

Answer: HCF of 6185, 2251, 69780 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6185, 2251, 69780 using Euclid's Algorithm?

Answer: For arbitrary numbers 6185, 2251, 69780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.