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 9841, 453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9841, 453 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 9841, 453 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 9841, 453 is 1.
HCF(9841, 453) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9841, 453 is 1.
Step 1: Since 9841 > 453, we apply the division lemma to 9841 and 453, to get
9841 = 453 x 21 + 328
Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 328 and 453, to get
453 = 328 x 1 + 125
Step 3: We consider the new divisor 328 and the new remainder 125, and apply the division lemma to get
328 = 125 x 2 + 78
We consider the new divisor 125 and the new remainder 78,and apply the division lemma to get
125 = 78 x 1 + 47
We consider the new divisor 78 and the new remainder 47,and apply the division lemma to get
78 = 47 x 1 + 31
We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get
47 = 31 x 1 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9841 and 453 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(78,47) = HCF(125,78) = HCF(328,125) = HCF(453,328) = HCF(9841,453) .
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 9841, 453?
Answer: HCF of 9841, 453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9841, 453 using Euclid's Algorithm?
Answer: For arbitrary numbers 9841, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.