Highest Common Factor of 2313, 6010 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 2313, 6010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2313, 6010 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 2313, 6010 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 2313, 6010 is 1.
HCF(2313, 6010) = 1
HCF of 2313, 6010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2313, 6010 is 1.
Highest Common Factor of 2313,6010 is 1
Step 1: Since 6010 > 2313, we apply the division lemma to 6010 and 2313, to get
6010 = 2313 x 2 + 1384
Step 2: Since the reminder 2313 ≠ 0, we apply division lemma to 1384 and 2313, to get
2313 = 1384 x 1 + 929
Step 3: We consider the new divisor 1384 and the new remainder 929, and apply the division lemma to get
1384 = 929 x 1 + 455
We consider the new divisor 929 and the new remainder 455,and apply the division lemma to get
929 = 455 x 2 + 19
We consider the new divisor 455 and the new remainder 19,and apply the division lemma to get
455 = 19 x 23 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2313 and 6010 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(455,19) = HCF(929,455) = HCF(1384,929) = HCF(2313,1384) = HCF(6010,2313) .
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Frequently Asked Questions on HCF of 2313, 6010 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 2313, 6010?
Answer: HCF of 2313, 6010 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2313, 6010 using Euclid's Algorithm?
Answer: For arbitrary numbers 2313, 6010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.