Highest Common Factor of 8130, 2357 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 8130, 2357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8130, 2357 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 8130, 2357 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 8130, 2357 is 1.
HCF(8130, 2357) = 1
HCF of 8130, 2357 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8130, 2357 is 1.
Highest Common Factor of 8130,2357 is 1
Step 1: Since 8130 > 2357, we apply the division lemma to 8130 and 2357, to get
8130 = 2357 x 3 + 1059
Step 2: Since the reminder 2357 ≠ 0, we apply division lemma to 1059 and 2357, to get
2357 = 1059 x 2 + 239
Step 3: We consider the new divisor 1059 and the new remainder 239, and apply the division lemma to get
1059 = 239 x 4 + 103
We consider the new divisor 239 and the new remainder 103,and apply the division lemma to get
239 = 103 x 2 + 33
We consider the new divisor 103 and the new remainder 33,and apply the division lemma to get
103 = 33 x 3 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8130 and 2357 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(103,33) = HCF(239,103) = HCF(1059,239) = HCF(2357,1059) = HCF(8130,2357) .
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Frequently Asked Questions on HCF of 8130, 2357 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 8130, 2357?
Answer: HCF of 8130, 2357 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8130, 2357 using Euclid's Algorithm?
Answer: For arbitrary numbers 8130, 2357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.