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 521, 8537, 3925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 8537, 3925 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 521, 8537, 3925 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 521, 8537, 3925 is 1.
HCF(521, 8537, 3925) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 8537, 3925 is 1.
Step 1: Since 8537 > 521, we apply the division lemma to 8537 and 521, to get
8537 = 521 x 16 + 201
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 201 and 521, to get
521 = 201 x 2 + 119
Step 3: We consider the new divisor 201 and the new remainder 119, and apply the division lemma to get
201 = 119 x 1 + 82
We consider the new divisor 119 and the new remainder 82,and apply the division lemma to get
119 = 82 x 1 + 37
We consider the new divisor 82 and the new remainder 37,and apply the division lemma to get
82 = 37 x 2 + 8
We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get
37 = 8 x 4 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 521 and 8537 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(82,37) = HCF(119,82) = HCF(201,119) = HCF(521,201) = HCF(8537,521) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3925 > 1, we apply the division lemma to 3925 and 1, to get
3925 = 1 x 3925 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3925 is 1
Notice that 1 = HCF(3925,1) .
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 521, 8537, 3925?
Answer: HCF of 521, 8537, 3925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 8537, 3925 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 8537, 3925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.