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 3909, 9571, 87428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3909, 9571, 87428 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 3909, 9571, 87428 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 3909, 9571, 87428 is 1.
HCF(3909, 9571, 87428) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3909, 9571, 87428 is 1.
Step 1: Since 9571 > 3909, we apply the division lemma to 9571 and 3909, to get
9571 = 3909 x 2 + 1753
Step 2: Since the reminder 3909 ≠ 0, we apply division lemma to 1753 and 3909, to get
3909 = 1753 x 2 + 403
Step 3: We consider the new divisor 1753 and the new remainder 403, and apply the division lemma to get
1753 = 403 x 4 + 141
We consider the new divisor 403 and the new remainder 141,and apply the division lemma to get
403 = 141 x 2 + 121
We consider the new divisor 141 and the new remainder 121,and apply the division lemma to get
141 = 121 x 1 + 20
We consider the new divisor 121 and the new remainder 20,and apply the division lemma to get
121 = 20 x 6 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3909 and 9571 is 1
Notice that 1 = HCF(20,1) = HCF(121,20) = HCF(141,121) = HCF(403,141) = HCF(1753,403) = HCF(3909,1753) = HCF(9571,3909) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87428 > 1, we apply the division lemma to 87428 and 1, to get
87428 = 1 x 87428 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87428 is 1
Notice that 1 = HCF(87428,1) .
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 3909, 9571, 87428?
Answer: HCF of 3909, 9571, 87428 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3909, 9571, 87428 using Euclid's Algorithm?
Answer: For arbitrary numbers 3909, 9571, 87428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.