Highest Common Factor of 1850, 6481, 60716 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 1850, 6481, 60716 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1850, 6481, 60716 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 1850, 6481, 60716 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 1850, 6481, 60716 is 1.

HCF(1850, 6481, 60716) = 1

HCF of 1850, 6481, 60716 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 1850, 6481, 60716 is 1.

Highest Common Factor of 1850,6481,60716 using Euclid's algorithm

Highest Common Factor of 1850,6481,60716 is 1

Step 1: Since 6481 > 1850, we apply the division lemma to 6481 and 1850, to get

6481 = 1850 x 3 + 931

Step 2: Since the reminder 1850 ≠ 0, we apply division lemma to 931 and 1850, to get

1850 = 931 x 1 + 919

Step 3: We consider the new divisor 931 and the new remainder 919, and apply the division lemma to get

931 = 919 x 1 + 12

We consider the new divisor 919 and the new remainder 12,and apply the division lemma to get

919 = 12 x 76 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1850 and 6481 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(919,12) = HCF(931,919) = HCF(1850,931) = HCF(6481,1850) .

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

Step 1: Since 60716 > 1, we apply the division lemma to 60716 and 1, to get

60716 = 1 x 60716 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60716 is 1

Notice that 1 = HCF(60716,1) .

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Frequently Asked Questions on HCF of 1850, 6481, 60716 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 1850, 6481, 60716?

Answer: HCF of 1850, 6481, 60716 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1850, 6481, 60716 using Euclid's Algorithm?

Answer: For arbitrary numbers 1850, 6481, 60716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.