Highest Common Factor of 1444, 9818 using Euclid's algorithm
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 1444, 9818 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1444, 9818 is 2 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 1444, 9818 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 1444, 9818 is 2.
HCF(1444, 9818) = 2
HCF of 1444, 9818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1444, 9818 is 2.
Highest Common Factor of 1444,9818 is 2
Step 1: Since 9818 > 1444, we apply the division lemma to 9818 and 1444, to get
9818 = 1444 x 6 + 1154
Step 2: Since the reminder 1444 ≠ 0, we apply division lemma to 1154 and 1444, to get
1444 = 1154 x 1 + 290
Step 3: We consider the new divisor 1154 and the new remainder 290, and apply the division lemma to get
1154 = 290 x 3 + 284
We consider the new divisor 290 and the new remainder 284,and apply the division lemma to get
290 = 284 x 1 + 6
We consider the new divisor 284 and the new remainder 6,and apply the division lemma to get
284 = 6 x 47 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1444 and 9818 is 2
Notice that 2 = HCF(6,2) = HCF(284,6) = HCF(290,284) = HCF(1154,290) = HCF(1444,1154) = HCF(9818,1444) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1444, 9818 using Euclid's Algorithm
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 1444, 9818?
Answer: HCF of 1444, 9818 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1444, 9818 using Euclid's Algorithm?
Answer: For arbitrary numbers 1444, 9818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.