Highest Common Factor of 8240, 5841 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 8240, 5841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8240, 5841 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 8240, 5841 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 8240, 5841 is 1.
HCF(8240, 5841) = 1
HCF of 8240, 5841 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8240, 5841 is 1.
Highest Common Factor of 8240,5841 is 1
Step 1: Since 8240 > 5841, we apply the division lemma to 8240 and 5841, to get
8240 = 5841 x 1 + 2399
Step 2: Since the reminder 5841 ≠ 0, we apply division lemma to 2399 and 5841, to get
5841 = 2399 x 2 + 1043
Step 3: We consider the new divisor 2399 and the new remainder 1043, and apply the division lemma to get
2399 = 1043 x 2 + 313
We consider the new divisor 1043 and the new remainder 313,and apply the division lemma to get
1043 = 313 x 3 + 104
We consider the new divisor 313 and the new remainder 104,and apply the division lemma to get
313 = 104 x 3 + 1
We consider the new divisor 104 and the new remainder 1,and apply the division lemma to get
104 = 1 x 104 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8240 and 5841 is 1
Notice that 1 = HCF(104,1) = HCF(313,104) = HCF(1043,313) = HCF(2399,1043) = HCF(5841,2399) = HCF(8240,5841) .
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Frequently Asked Questions on HCF of 8240, 5841 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 8240, 5841?
Answer: HCF of 8240, 5841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8240, 5841 using Euclid's Algorithm?
Answer: For arbitrary numbers 8240, 5841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.