Highest Common Factor of 8318, 2113 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 8318, 2113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8318, 2113 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 8318, 2113 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 8318, 2113 is 1.
HCF(8318, 2113) = 1
HCF of 8318, 2113 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8318, 2113 is 1.
Highest Common Factor of 8318,2113 is 1
Step 1: Since 8318 > 2113, we apply the division lemma to 8318 and 2113, to get
8318 = 2113 x 3 + 1979
Step 2: Since the reminder 2113 ≠ 0, we apply division lemma to 1979 and 2113, to get
2113 = 1979 x 1 + 134
Step 3: We consider the new divisor 1979 and the new remainder 134, and apply the division lemma to get
1979 = 134 x 14 + 103
We consider the new divisor 134 and the new remainder 103,and apply the division lemma to get
134 = 103 x 1 + 31
We consider the new divisor 103 and the new remainder 31,and apply the division lemma to get
103 = 31 x 3 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 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 8318 and 2113 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(103,31) = HCF(134,103) = HCF(1979,134) = HCF(2113,1979) = HCF(8318,2113) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8318, 2113 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 8318, 2113?
Answer: HCF of 8318, 2113 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8318, 2113 using Euclid's Algorithm?
Answer: For arbitrary numbers 8318, 2113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
