Highest Common Factor of 283, 448, 781 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 283, 448, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 283, 448, 781 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 283, 448, 781 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 283, 448, 781 is 1.

HCF(283, 448, 781) = 1

HCF of 283, 448, 781 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 283, 448, 781 is 1.

Highest Common Factor of 283,448,781 using Euclid's algorithm

Highest Common Factor of 283,448,781 is 1

Step 1: Since 448 > 283, we apply the division lemma to 448 and 283, to get

448 = 283 x 1 + 165

Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 165 and 283, to get

283 = 165 x 1 + 118

Step 3: We consider the new divisor 165 and the new remainder 118, and apply the division lemma to get

165 = 118 x 1 + 47

We consider the new divisor 118 and the new remainder 47,and apply the division lemma to get

118 = 47 x 2 + 24

We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get

47 = 24 x 1 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 283 and 448 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(118,47) = HCF(165,118) = HCF(283,165) = HCF(448,283) .

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

Step 1: Since 781 > 1, we apply the division lemma to 781 and 1, to get

781 = 1 x 781 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 781 is 1

Notice that 1 = HCF(781,1) .

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Frequently Asked Questions on HCF of 283, 448, 781 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 283, 448, 781?

Answer: HCF of 283, 448, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 283, 448, 781 using Euclid's Algorithm?

Answer: For arbitrary numbers 283, 448, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.