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 9627, 1990 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9627, 1990 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 9627, 1990 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 9627, 1990 is 1.
HCF(9627, 1990) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9627, 1990 is 1.
Step 1: Since 9627 > 1990, we apply the division lemma to 9627 and 1990, to get
9627 = 1990 x 4 + 1667
Step 2: Since the reminder 1990 ≠ 0, we apply division lemma to 1667 and 1990, to get
1990 = 1667 x 1 + 323
Step 3: We consider the new divisor 1667 and the new remainder 323, and apply the division lemma to get
1667 = 323 x 5 + 52
We consider the new divisor 323 and the new remainder 52,and apply the division lemma to get
323 = 52 x 6 + 11
We consider the new divisor 52 and the new remainder 11,and apply the division lemma to get
52 = 11 x 4 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 9627 and 1990 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(52,11) = HCF(323,52) = HCF(1667,323) = HCF(1990,1667) = HCF(9627,1990) .
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 9627, 1990?
Answer: HCF of 9627, 1990 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9627, 1990 using Euclid's Algorithm?
Answer: For arbitrary numbers 9627, 1990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.