Highest Common Factor of 3904, 5380, 49828 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 3904, 5380, 49828 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 3904, 5380, 49828 is 4 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 3904, 5380, 49828 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 3904, 5380, 49828 is 4.

HCF(3904, 5380, 49828) = 4

HCF of 3904, 5380, 49828 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 3904, 5380, 49828 is 4.

Highest Common Factor of 3904,5380,49828 using Euclid's algorithm

Highest Common Factor of 3904,5380,49828 is 4

Step 1: Since 5380 > 3904, we apply the division lemma to 5380 and 3904, to get

5380 = 3904 x 1 + 1476

Step 2: Since the reminder 3904 ≠ 0, we apply division lemma to 1476 and 3904, to get

3904 = 1476 x 2 + 952

Step 3: We consider the new divisor 1476 and the new remainder 952, and apply the division lemma to get

1476 = 952 x 1 + 524

We consider the new divisor 952 and the new remainder 524,and apply the division lemma to get

952 = 524 x 1 + 428

We consider the new divisor 524 and the new remainder 428,and apply the division lemma to get

524 = 428 x 1 + 96

We consider the new divisor 428 and the new remainder 96,and apply the division lemma to get

428 = 96 x 4 + 44

We consider the new divisor 96 and the new remainder 44,and apply the division lemma to get

96 = 44 x 2 + 8

We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get

44 = 8 x 5 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3904 and 5380 is 4

Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(96,44) = HCF(428,96) = HCF(524,428) = HCF(952,524) = HCF(1476,952) = HCF(3904,1476) = HCF(5380,3904) .

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

Step 1: Since 49828 > 4, we apply the division lemma to 49828 and 4, to get

49828 = 4 x 12457 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 49828 is 4

Notice that 4 = HCF(49828,4) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3904, 5380, 49828 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 3904, 5380, 49828?

Answer: HCF of 3904, 5380, 49828 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3904, 5380, 49828 using Euclid's Algorithm?

Answer: For arbitrary numbers 3904, 5380, 49828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.