Highest Common Factor of 2476, 5407, 87114 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 2476, 5407, 87114 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2476, 5407, 87114 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 2476, 5407, 87114 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 2476, 5407, 87114 is 1.
HCF(2476, 5407, 87114) = 1
HCF of 2476, 5407, 87114 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2476, 5407, 87114 is 1.
Highest Common Factor of 2476,5407,87114 is 1
Step 1: Since 5407 > 2476, we apply the division lemma to 5407 and 2476, to get
5407 = 2476 x 2 + 455
Step 2: Since the reminder 2476 ≠ 0, we apply division lemma to 455 and 2476, to get
2476 = 455 x 5 + 201
Step 3: We consider the new divisor 455 and the new remainder 201, and apply the division lemma to get
455 = 201 x 2 + 53
We consider the new divisor 201 and the new remainder 53,and apply the division lemma to get
201 = 53 x 3 + 42
We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get
53 = 42 x 1 + 11
We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get
42 = 11 x 3 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 2476 and 5407 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(201,53) = HCF(455,201) = HCF(2476,455) = HCF(5407,2476) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87114 > 1, we apply the division lemma to 87114 and 1, to get
87114 = 1 x 87114 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87114 is 1
Notice that 1 = HCF(87114,1) .
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Frequently Asked Questions on HCF of 2476, 5407, 87114 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 2476, 5407, 87114?
Answer: HCF of 2476, 5407, 87114 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2476, 5407, 87114 using Euclid's Algorithm?
Answer: For arbitrary numbers 2476, 5407, 87114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
