Highest Common Factor of 7409, 5918 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 7409, 5918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7409, 5918 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 7409, 5918 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 7409, 5918 is 1.
HCF(7409, 5918) = 1
HCF of 7409, 5918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7409, 5918 is 1.
Highest Common Factor of 7409,5918 is 1
Step 1: Since 7409 > 5918, we apply the division lemma to 7409 and 5918, to get
7409 = 5918 x 1 + 1491
Step 2: Since the reminder 5918 ≠ 0, we apply division lemma to 1491 and 5918, to get
5918 = 1491 x 3 + 1445
Step 3: We consider the new divisor 1491 and the new remainder 1445, and apply the division lemma to get
1491 = 1445 x 1 + 46
We consider the new divisor 1445 and the new remainder 46,and apply the division lemma to get
1445 = 46 x 31 + 19
We consider the new divisor 46 and the new remainder 19,and apply the division lemma to get
46 = 19 x 2 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7409 and 5918 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(46,19) = HCF(1445,46) = HCF(1491,1445) = HCF(5918,1491) = HCF(7409,5918) .
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Frequently Asked Questions on HCF of 7409, 5918 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 7409, 5918?
Answer: HCF of 7409, 5918 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7409, 5918 using Euclid's Algorithm?
Answer: For arbitrary numbers 7409, 5918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.