Highest Common Factor of 981, 93011 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 981, 93011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 93011 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, 93011 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, 93011 is 1.
HCF(981, 93011) = 1
HCF of 981, 93011 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 93011 is 1.
Highest Common Factor of 981,93011 is 1
Step 1: Since 93011 > 981, we apply the division lemma to 93011 and 981, to get
93011 = 981 x 94 + 797
Step 2: Since the reminder 981 ≠ 0, we apply division lemma to 797 and 981, to get
981 = 797 x 1 + 184
Step 3: We consider the new divisor 797 and the new remainder 184, and apply the division lemma to get
797 = 184 x 4 + 61
We consider the new divisor 184 and the new remainder 61,and apply the division lemma to get
184 = 61 x 3 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 981 and 93011 is 1
Notice that 1 = HCF(61,1) = HCF(184,61) = HCF(797,184) = HCF(981,797) = HCF(93011,981) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 981, 93011 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 981, 93011?
Answer: HCF of 981, 93011 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 93011 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 93011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.