Highest Common Factor of 1941, 4655, 60582 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 1941, 4655, 60582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1941, 4655, 60582 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 1941, 4655, 60582 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 1941, 4655, 60582 is 1.

HCF(1941, 4655, 60582) = 1

HCF of 1941, 4655, 60582 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 1941, 4655, 60582 is 1.

Highest Common Factor of 1941,4655,60582 using Euclid's algorithm

Highest Common Factor of 1941,4655,60582 is 1

Step 1: Since 4655 > 1941, we apply the division lemma to 4655 and 1941, to get

4655 = 1941 x 2 + 773

Step 2: Since the reminder 1941 ≠ 0, we apply division lemma to 773 and 1941, to get

1941 = 773 x 2 + 395

Step 3: We consider the new divisor 773 and the new remainder 395, and apply the division lemma to get

773 = 395 x 1 + 378

We consider the new divisor 395 and the new remainder 378,and apply the division lemma to get

395 = 378 x 1 + 17

We consider the new divisor 378 and the new remainder 17,and apply the division lemma to get

378 = 17 x 22 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1941 and 4655 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(378,17) = HCF(395,378) = HCF(773,395) = HCF(1941,773) = HCF(4655,1941) .

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

Step 1: Since 60582 > 1, we apply the division lemma to 60582 and 1, to get

60582 = 1 x 60582 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60582 is 1

Notice that 1 = HCF(60582,1) .

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Frequently Asked Questions on HCF of 1941, 4655, 60582 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 1941, 4655, 60582?

Answer: HCF of 1941, 4655, 60582 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1941, 4655, 60582 using Euclid's Algorithm?

Answer: For arbitrary numbers 1941, 4655, 60582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.