Highest Common Factor of 5055, 7510, 18379 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 5055, 7510, 18379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5055, 7510, 18379 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 5055, 7510, 18379 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 5055, 7510, 18379 is 1.
HCF(5055, 7510, 18379) = 1
HCF of 5055, 7510, 18379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5055, 7510, 18379 is 1.
Highest Common Factor of 5055,7510,18379 is 1
Step 1: Since 7510 > 5055, we apply the division lemma to 7510 and 5055, to get
7510 = 5055 x 1 + 2455
Step 2: Since the reminder 5055 ≠ 0, we apply division lemma to 2455 and 5055, to get
5055 = 2455 x 2 + 145
Step 3: We consider the new divisor 2455 and the new remainder 145, and apply the division lemma to get
2455 = 145 x 16 + 135
We consider the new divisor 145 and the new remainder 135,and apply the division lemma to get
145 = 135 x 1 + 10
We consider the new divisor 135 and the new remainder 10,and apply the division lemma to get
135 = 10 x 13 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5055 and 7510 is 5
Notice that 5 = HCF(10,5) = HCF(135,10) = HCF(145,135) = HCF(2455,145) = HCF(5055,2455) = HCF(7510,5055) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18379 > 5, we apply the division lemma to 18379 and 5, to get
18379 = 5 x 3675 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 18379 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(18379,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5055, 7510, 18379 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 5055, 7510, 18379?
Answer: HCF of 5055, 7510, 18379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5055, 7510, 18379 using Euclid's Algorithm?
Answer: For arbitrary numbers 5055, 7510, 18379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
