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 285, 513 i.e. 57 the largest integer that leaves a remainder zero for all numbers.
HCF of 285, 513 is 57 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 285, 513 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 285, 513 is 57.
HCF(285, 513) = 57
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 285, 513 is 57.
Step 1: Since 513 > 285, we apply the division lemma to 513 and 285, to get
513 = 285 x 1 + 228
Step 2: Since the reminder 285 ≠ 0, we apply division lemma to 228 and 285, to get
285 = 228 x 1 + 57
Step 3: We consider the new divisor 228 and the new remainder 57, and apply the division lemma to get
228 = 57 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 285 and 513 is 57
Notice that 57 = HCF(228,57) = HCF(285,228) = HCF(513,285) .
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 285, 513?
Answer: HCF of 285, 513 is 57 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 285, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 285, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.