Highest Common Factor of 2390, 5721 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 2390, 5721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2390, 5721 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 2390, 5721 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 2390, 5721 is 1.
HCF(2390, 5721) = 1
HCF of 2390, 5721 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2390, 5721 is 1.
Highest Common Factor of 2390,5721 is 1
Step 1: Since 5721 > 2390, we apply the division lemma to 5721 and 2390, to get
5721 = 2390 x 2 + 941
Step 2: Since the reminder 2390 ≠ 0, we apply division lemma to 941 and 2390, to get
2390 = 941 x 2 + 508
Step 3: We consider the new divisor 941 and the new remainder 508, and apply the division lemma to get
941 = 508 x 1 + 433
We consider the new divisor 508 and the new remainder 433,and apply the division lemma to get
508 = 433 x 1 + 75
We consider the new divisor 433 and the new remainder 75,and apply the division lemma to get
433 = 75 x 5 + 58
We consider the new divisor 75 and the new remainder 58,and apply the division lemma to get
75 = 58 x 1 + 17
We consider the new divisor 58 and the new remainder 17,and apply the division lemma to get
58 = 17 x 3 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2390 and 5721 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(58,17) = HCF(75,58) = HCF(433,75) = HCF(508,433) = HCF(941,508) = HCF(2390,941) = HCF(5721,2390) .
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Frequently Asked Questions on HCF of 2390, 5721 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 2390, 5721?
Answer: HCF of 2390, 5721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2390, 5721 using Euclid's Algorithm?
Answer: For arbitrary numbers 2390, 5721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.