Highest Common Factor of 838, 23130 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 838, 23130 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 838, 23130 is 2 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 838, 23130 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 838, 23130 is 2.
HCF(838, 23130) = 2
HCF of 838, 23130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 838, 23130 is 2.
Highest Common Factor of 838,23130 is 2
Step 1: Since 23130 > 838, we apply the division lemma to 23130 and 838, to get
23130 = 838 x 27 + 504
Step 2: Since the reminder 838 ≠ 0, we apply division lemma to 504 and 838, to get
838 = 504 x 1 + 334
Step 3: We consider the new divisor 504 and the new remainder 334, and apply the division lemma to get
504 = 334 x 1 + 170
We consider the new divisor 334 and the new remainder 170,and apply the division lemma to get
334 = 170 x 1 + 164
We consider the new divisor 170 and the new remainder 164,and apply the division lemma to get
170 = 164 x 1 + 6
We consider the new divisor 164 and the new remainder 6,and apply the division lemma to get
164 = 6 x 27 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 838 and 23130 is 2
Notice that 2 = HCF(6,2) = HCF(164,6) = HCF(170,164) = HCF(334,170) = HCF(504,334) = HCF(838,504) = HCF(23130,838) .
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Frequently Asked Questions on HCF of 838, 23130 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 838, 23130?
Answer: HCF of 838, 23130 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 838, 23130 using Euclid's Algorithm?
Answer: For arbitrary numbers 838, 23130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.