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 981, 9458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 9458 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 981, 9458 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 981, 9458 is 1.
HCF(981, 9458) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 9458 is 1.
Step 1: Since 9458 > 981, we apply the division lemma to 9458 and 981, to get
9458 = 981 x 9 + 629
Step 2: Since the reminder 981 ≠ 0, we apply division lemma to 629 and 981, to get
981 = 629 x 1 + 352
Step 3: We consider the new divisor 629 and the new remainder 352, and apply the division lemma to get
629 = 352 x 1 + 277
We consider the new divisor 352 and the new remainder 277,and apply the division lemma to get
352 = 277 x 1 + 75
We consider the new divisor 277 and the new remainder 75,and apply the division lemma to get
277 = 75 x 3 + 52
We consider the new divisor 75 and the new remainder 52,and apply the division lemma to get
75 = 52 x 1 + 23
We consider the new divisor 52 and the new remainder 23,and apply the division lemma to get
52 = 23 x 2 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 981 and 9458 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(52,23) = HCF(75,52) = HCF(277,75) = HCF(352,277) = HCF(629,352) = HCF(981,629) = HCF(9458,981) .
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 981, 9458?
Answer: HCF of 981, 9458 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 9458 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 9458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.