Highest Common Factor of 2133, 8248 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 2133, 8248 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2133, 8248 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 2133, 8248 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 2133, 8248 is 1.
HCF(2133, 8248) = 1
HCF of 2133, 8248 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2133, 8248 is 1.
Highest Common Factor of 2133,8248 is 1
Step 1: Since 8248 > 2133, we apply the division lemma to 8248 and 2133, to get
8248 = 2133 x 3 + 1849
Step 2: Since the reminder 2133 ≠ 0, we apply division lemma to 1849 and 2133, to get
2133 = 1849 x 1 + 284
Step 3: We consider the new divisor 1849 and the new remainder 284, and apply the division lemma to get
1849 = 284 x 6 + 145
We consider the new divisor 284 and the new remainder 145,and apply the division lemma to get
284 = 145 x 1 + 139
We consider the new divisor 145 and the new remainder 139,and apply the division lemma to get
145 = 139 x 1 + 6
We consider the new divisor 139 and the new remainder 6,and apply the division lemma to get
139 = 6 x 23 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2133 and 8248 is 1
Notice that 1 = HCF(6,1) = HCF(139,6) = HCF(145,139) = HCF(284,145) = HCF(1849,284) = HCF(2133,1849) = HCF(8248,2133) .
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Frequently Asked Questions on HCF of 2133, 8248 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 2133, 8248?
Answer: HCF of 2133, 8248 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2133, 8248 using Euclid's Algorithm?
Answer: For arbitrary numbers 2133, 8248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.