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 518, 321, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 321, 280 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 518, 321, 280 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 518, 321, 280 is 1.
HCF(518, 321, 280) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 321, 280 is 1.
Step 1: Since 518 > 321, we apply the division lemma to 518 and 321, to get
518 = 321 x 1 + 197
Step 2: Since the reminder 321 ≠ 0, we apply division lemma to 197 and 321, to get
321 = 197 x 1 + 124
Step 3: We consider the new divisor 197 and the new remainder 124, and apply the division lemma to get
197 = 124 x 1 + 73
We consider the new divisor 124 and the new remainder 73,and apply the division lemma to get
124 = 73 x 1 + 51
We consider the new divisor 73 and the new remainder 51,and apply the division lemma to get
73 = 51 x 1 + 22
We consider the new divisor 51 and the new remainder 22,and apply the division lemma to get
51 = 22 x 2 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 518 and 321 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(51,22) = HCF(73,51) = HCF(124,73) = HCF(197,124) = HCF(321,197) = HCF(518,321) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 280 > 1, we apply the division lemma to 280 and 1, to get
280 = 1 x 280 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 280 is 1
Notice that 1 = HCF(280,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 518, 321, 280?
Answer: HCF of 518, 321, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 321, 280 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 321, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.