Highest Common Factor of 5407, 2468 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 5407, 2468 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5407, 2468 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 5407, 2468 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 5407, 2468 is 1.
HCF(5407, 2468) = 1
HCF of 5407, 2468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5407, 2468 is 1.
Highest Common Factor of 5407,2468 is 1
Step 1: Since 5407 > 2468, we apply the division lemma to 5407 and 2468, to get
5407 = 2468 x 2 + 471
Step 2: Since the reminder 2468 ≠ 0, we apply division lemma to 471 and 2468, to get
2468 = 471 x 5 + 113
Step 3: We consider the new divisor 471 and the new remainder 113, and apply the division lemma to get
471 = 113 x 4 + 19
We consider the new divisor 113 and the new remainder 19,and apply the division lemma to get
113 = 19 x 5 + 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 5407 and 2468 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(113,19) = HCF(471,113) = HCF(2468,471) = HCF(5407,2468) .
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Frequently Asked Questions on HCF of 5407, 2468 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 5407, 2468?
Answer: HCF of 5407, 2468 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5407, 2468 using Euclid's Algorithm?
Answer: For arbitrary numbers 5407, 2468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.