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 983, 841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 983, 841 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 983, 841 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 983, 841 is 1.
HCF(983, 841) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 983, 841 is 1.
Step 1: Since 983 > 841, we apply the division lemma to 983 and 841, to get
983 = 841 x 1 + 142
Step 2: Since the reminder 841 ≠ 0, we apply division lemma to 142 and 841, to get
841 = 142 x 5 + 131
Step 3: We consider the new divisor 142 and the new remainder 131, and apply the division lemma to get
142 = 131 x 1 + 11
We consider the new divisor 131 and the new remainder 11,and apply the division lemma to get
131 = 11 x 11 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 983 and 841 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(131,11) = HCF(142,131) = HCF(841,142) = HCF(983,841) .
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 983, 841?
Answer: HCF of 983, 841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 983, 841 using Euclid's Algorithm?
Answer: For arbitrary numbers 983, 841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.