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 928, 81311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 81311 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 928, 81311 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 928, 81311 is 1.
HCF(928, 81311) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 928, 81311 is 1.
Step 1: Since 81311 > 928, we apply the division lemma to 81311 and 928, to get
81311 = 928 x 87 + 575
Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 575 and 928, to get
928 = 575 x 1 + 353
Step 3: We consider the new divisor 575 and the new remainder 353, and apply the division lemma to get
575 = 353 x 1 + 222
We consider the new divisor 353 and the new remainder 222,and apply the division lemma to get
353 = 222 x 1 + 131
We consider the new divisor 222 and the new remainder 131,and apply the division lemma to get
222 = 131 x 1 + 91
We consider the new divisor 131 and the new remainder 91,and apply the division lemma to get
131 = 91 x 1 + 40
We consider the new divisor 91 and the new remainder 40,and apply the division lemma to get
91 = 40 x 2 + 11
We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get
40 = 11 x 3 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 928 and 81311 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(91,40) = HCF(131,91) = HCF(222,131) = HCF(353,222) = HCF(575,353) = HCF(928,575) = HCF(81311,928) .
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 928, 81311?
Answer: HCF of 928, 81311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 81311 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 81311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.