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 9046, 3571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9046, 3571 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 9046, 3571 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 9046, 3571 is 1.
HCF(9046, 3571) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9046, 3571 is 1.
Step 1: Since 9046 > 3571, we apply the division lemma to 9046 and 3571, to get
9046 = 3571 x 2 + 1904
Step 2: Since the reminder 3571 ≠ 0, we apply division lemma to 1904 and 3571, to get
3571 = 1904 x 1 + 1667
Step 3: We consider the new divisor 1904 and the new remainder 1667, and apply the division lemma to get
1904 = 1667 x 1 + 237
We consider the new divisor 1667 and the new remainder 237,and apply the division lemma to get
1667 = 237 x 7 + 8
We consider the new divisor 237 and the new remainder 8,and apply the division lemma to get
237 = 8 x 29 + 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 9046 and 3571 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(237,8) = HCF(1667,237) = HCF(1904,1667) = HCF(3571,1904) = HCF(9046,3571) .
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 9046, 3571?
Answer: HCF of 9046, 3571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9046, 3571 using Euclid's Algorithm?
Answer: For arbitrary numbers 9046, 3571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.