Highest Common Factor of 5180, 7318, 30184 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 5180, 7318, 30184 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5180, 7318, 30184 is 2 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 5180, 7318, 30184 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 5180, 7318, 30184 is 2.
HCF(5180, 7318, 30184) = 2
HCF of 5180, 7318, 30184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5180, 7318, 30184 is 2.
Highest Common Factor of 5180,7318,30184 is 2
Step 1: Since 7318 > 5180, we apply the division lemma to 7318 and 5180, to get
7318 = 5180 x 1 + 2138
Step 2: Since the reminder 5180 ≠ 0, we apply division lemma to 2138 and 5180, to get
5180 = 2138 x 2 + 904
Step 3: We consider the new divisor 2138 and the new remainder 904, and apply the division lemma to get
2138 = 904 x 2 + 330
We consider the new divisor 904 and the new remainder 330,and apply the division lemma to get
904 = 330 x 2 + 244
We consider the new divisor 330 and the new remainder 244,and apply the division lemma to get
330 = 244 x 1 + 86
We consider the new divisor 244 and the new remainder 86,and apply the division lemma to get
244 = 86 x 2 + 72
We consider the new divisor 86 and the new remainder 72,and apply the division lemma to get
86 = 72 x 1 + 14
We consider the new divisor 72 and the new remainder 14,and apply the division lemma to get
72 = 14 x 5 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5180 and 7318 is 2
Notice that 2 = HCF(14,2) = HCF(72,14) = HCF(86,72) = HCF(244,86) = HCF(330,244) = HCF(904,330) = HCF(2138,904) = HCF(5180,2138) = HCF(7318,5180) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30184 > 2, we apply the division lemma to 30184 and 2, to get
30184 = 2 x 15092 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 30184 is 2
Notice that 2 = HCF(30184,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5180, 7318, 30184 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 5180, 7318, 30184?
Answer: HCF of 5180, 7318, 30184 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5180, 7318, 30184 using Euclid's Algorithm?
Answer: For arbitrary numbers 5180, 7318, 30184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.