Highest Common Factor of 417, 6080, 3048 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 417, 6080, 3048 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 417, 6080, 3048 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 417, 6080, 3048 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 417, 6080, 3048 is 1.

HCF(417, 6080, 3048) = 1

HCF of 417, 6080, 3048 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 417, 6080, 3048 is 1.

Highest Common Factor of 417,6080,3048 using Euclid's algorithm

Highest Common Factor of 417,6080,3048 is 1

Step 1: Since 6080 > 417, we apply the division lemma to 6080 and 417, to get

6080 = 417 x 14 + 242

Step 2: Since the reminder 417 ≠ 0, we apply division lemma to 242 and 417, to get

417 = 242 x 1 + 175

Step 3: We consider the new divisor 242 and the new remainder 175, and apply the division lemma to get

242 = 175 x 1 + 67

We consider the new divisor 175 and the new remainder 67,and apply the division lemma to get

175 = 67 x 2 + 41

We consider the new divisor 67 and the new remainder 41,and apply the division lemma to get

67 = 41 x 1 + 26

We consider the new divisor 41 and the new remainder 26,and apply the division lemma to get

41 = 26 x 1 + 15

We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get

26 = 15 x 1 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 417 and 6080 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(41,26) = HCF(67,41) = HCF(175,67) = HCF(242,175) = HCF(417,242) = HCF(6080,417) .

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

Step 1: Since 3048 > 1, we apply the division lemma to 3048 and 1, to get

3048 = 1 x 3048 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3048 is 1

Notice that 1 = HCF(3048,1) .

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Frequently Asked Questions on HCF of 417, 6080, 3048 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 417, 6080, 3048?

Answer: HCF of 417, 6080, 3048 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 417, 6080, 3048 using Euclid's Algorithm?

Answer: For arbitrary numbers 417, 6080, 3048 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.