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
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) 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) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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.