Highest Common Factor of 280, 199, 617 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 280, 199, 617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 280, 199, 617 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 280, 199, 617 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 280, 199, 617 is 1.

HCF(280, 199, 617) = 1

HCF of 280, 199, 617 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 280, 199, 617 is 1.

Highest Common Factor of 280,199,617 using Euclid's algorithm

Highest Common Factor of 280,199,617 is 1

Step 1: Since 280 > 199, we apply the division lemma to 280 and 199, to get

280 = 199 x 1 + 81

Step 2: Since the reminder 199 ≠ 0, we apply division lemma to 81 and 199, to get

199 = 81 x 2 + 37

Step 3: We consider the new divisor 81 and the new remainder 37, and apply the division lemma to get

81 = 37 x 2 + 7

We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get

37 = 7 x 5 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 280 and 199 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(81,37) = HCF(199,81) = HCF(280,199) .

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

Step 1: Since 617 > 1, we apply the division lemma to 617 and 1, to get

617 = 1 x 617 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 617 is 1

Notice that 1 = HCF(617,1) .

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Frequently Asked Questions on HCF of 280, 199, 617 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 280, 199, 617?

Answer: HCF of 280, 199, 617 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 280, 199, 617 using Euclid's Algorithm?

Answer: For arbitrary numbers 280, 199, 617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.