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 485, 300 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 485, 300 is 5 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 485, 300 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 485, 300 is 5.
HCF(485, 300) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 485, 300 is 5.
Step 1: Since 485 > 300, we apply the division lemma to 485 and 300, to get
485 = 300 x 1 + 185
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 185 and 300, to get
300 = 185 x 1 + 115
Step 3: We consider the new divisor 185 and the new remainder 115, and apply the division lemma to get
185 = 115 x 1 + 70
We consider the new divisor 115 and the new remainder 70,and apply the division lemma to get
115 = 70 x 1 + 45
We consider the new divisor 70 and the new remainder 45,and apply the division lemma to get
70 = 45 x 1 + 25
We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get
45 = 25 x 1 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 485 and 300 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(70,45) = HCF(115,70) = HCF(185,115) = HCF(300,185) = HCF(485,300) .
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 485, 300?
Answer: HCF of 485, 300 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 485, 300 using Euclid's Algorithm?
Answer: For arbitrary numbers 485, 300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.