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 9881, 1322 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9881, 1322 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 9881, 1322 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 9881, 1322 is 1.
HCF(9881, 1322) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9881, 1322 is 1.
Step 1: Since 9881 > 1322, we apply the division lemma to 9881 and 1322, to get
9881 = 1322 x 7 + 627
Step 2: Since the reminder 1322 ≠ 0, we apply division lemma to 627 and 1322, to get
1322 = 627 x 2 + 68
Step 3: We consider the new divisor 627 and the new remainder 68, and apply the division lemma to get
627 = 68 x 9 + 15
We consider the new divisor 68 and the new remainder 15,and apply the division lemma to get
68 = 15 x 4 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9881 and 1322 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(68,15) = HCF(627,68) = HCF(1322,627) = HCF(9881,1322) .
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 9881, 1322?
Answer: HCF of 9881, 1322 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9881, 1322 using Euclid's Algorithm?
Answer: For arbitrary numbers 9881, 1322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.