Highest Common Factor of 2927, 3372, 48724 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 2927, 3372, 48724 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2927, 3372, 48724 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 2927, 3372, 48724 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 2927, 3372, 48724 is 1.

HCF(2927, 3372, 48724) = 1

HCF of 2927, 3372, 48724 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 2927, 3372, 48724 is 1.

Highest Common Factor of 2927,3372,48724 using Euclid's algorithm

Highest Common Factor of 2927,3372,48724 is 1

Step 1: Since 3372 > 2927, we apply the division lemma to 3372 and 2927, to get

3372 = 2927 x 1 + 445

Step 2: Since the reminder 2927 ≠ 0, we apply division lemma to 445 and 2927, to get

2927 = 445 x 6 + 257

Step 3: We consider the new divisor 445 and the new remainder 257, and apply the division lemma to get

445 = 257 x 1 + 188

We consider the new divisor 257 and the new remainder 188,and apply the division lemma to get

257 = 188 x 1 + 69

We consider the new divisor 188 and the new remainder 69,and apply the division lemma to get

188 = 69 x 2 + 50

We consider the new divisor 69 and the new remainder 50,and apply the division lemma to get

69 = 50 x 1 + 19

We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get

50 = 19 x 2 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2927 and 3372 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(69,50) = HCF(188,69) = HCF(257,188) = HCF(445,257) = HCF(2927,445) = HCF(3372,2927) .

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

Step 1: Since 48724 > 1, we apply the division lemma to 48724 and 1, to get

48724 = 1 x 48724 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48724 is 1

Notice that 1 = HCF(48724,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2927, 3372, 48724 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 2927, 3372, 48724?

Answer: HCF of 2927, 3372, 48724 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2927, 3372, 48724 using Euclid's Algorithm?

Answer: For arbitrary numbers 2927, 3372, 48724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.