Highest Common Factor of 283, 952, 373 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, 952, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 283, 952, 373 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, 952, 373 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, 952, 373 is 1.

HCF(283, 952, 373) = 1

HCF of 283, 952, 373 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, 952, 373 is 1.

Highest Common Factor of 283,952,373 using Euclid's algorithm

Highest Common Factor of 283,952,373 is 1

Step 1: Since 952 > 283, we apply the division lemma to 952 and 283, to get

952 = 283 x 3 + 103

Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 103 and 283, to get

283 = 103 x 2 + 77

Step 3: We consider the new divisor 103 and the new remainder 77, and apply the division lemma to get

103 = 77 x 1 + 26

We consider the new divisor 77 and the new remainder 26,and apply the division lemma to get

77 = 26 x 2 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 283 and 952 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(77,26) = HCF(103,77) = HCF(283,103) = HCF(952,283) .

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

Step 1: Since 373 > 1, we apply the division lemma to 373 and 1, to get

373 = 1 x 373 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 373 is 1

Notice that 1 = HCF(373,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 283, 952, 373 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, 952, 373?

Answer: HCF of 283, 952, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 283, 952, 373 using Euclid's Algorithm?

Answer: For arbitrary numbers 283, 952, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.