Highest Common Factor of 300, 5027, 2514 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 300, 5027, 2514 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 300, 5027, 2514 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 300, 5027, 2514 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 300, 5027, 2514 is 1.
HCF(300, 5027, 2514) = 1
HCF of 300, 5027, 2514 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 300, 5027, 2514 is 1.
Highest Common Factor of 300,5027,2514 is 1
Step 1: Since 5027 > 300, we apply the division lemma to 5027 and 300, to get
5027 = 300 x 16 + 227
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 227 and 300, to get
300 = 227 x 1 + 73
Step 3: We consider the new divisor 227 and the new remainder 73, and apply the division lemma to get
227 = 73 x 3 + 8
We consider the new divisor 73 and the new remainder 8,and apply the division lemma to get
73 = 8 x 9 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 300 and 5027 is 1
Notice that 1 = HCF(8,1) = HCF(73,8) = HCF(227,73) = HCF(300,227) = HCF(5027,300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2514 > 1, we apply the division lemma to 2514 and 1, to get
2514 = 1 x 2514 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2514 is 1
Notice that 1 = HCF(2514,1) .
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Frequently Asked Questions on HCF of 300, 5027, 2514 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 300, 5027, 2514?
Answer: HCF of 300, 5027, 2514 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 300, 5027, 2514 using Euclid's Algorithm?
Answer: For arbitrary numbers 300, 5027, 2514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.