Highest Common Factor of 7401, 5459 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 7401, 5459 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7401, 5459 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 7401, 5459 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 7401, 5459 is 1.
HCF(7401, 5459) = 1
HCF of 7401, 5459 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7401, 5459 is 1.
Highest Common Factor of 7401,5459 is 1
Step 1: Since 7401 > 5459, we apply the division lemma to 7401 and 5459, to get
7401 = 5459 x 1 + 1942
Step 2: Since the reminder 5459 ≠ 0, we apply division lemma to 1942 and 5459, to get
5459 = 1942 x 2 + 1575
Step 3: We consider the new divisor 1942 and the new remainder 1575, and apply the division lemma to get
1942 = 1575 x 1 + 367
We consider the new divisor 1575 and the new remainder 367,and apply the division lemma to get
1575 = 367 x 4 + 107
We consider the new divisor 367 and the new remainder 107,and apply the division lemma to get
367 = 107 x 3 + 46
We consider the new divisor 107 and the new remainder 46,and apply the division lemma to get
107 = 46 x 2 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7401 and 5459 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(107,46) = HCF(367,107) = HCF(1575,367) = HCF(1942,1575) = HCF(5459,1942) = HCF(7401,5459) .
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Frequently Asked Questions on HCF of 7401, 5459 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 7401, 5459?
Answer: HCF of 7401, 5459 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7401, 5459 using Euclid's Algorithm?
Answer: For arbitrary numbers 7401, 5459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.