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 510, 799 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 510, 799 is 17 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 510, 799 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 510, 799 is 17.
HCF(510, 799) = 17
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 510, 799 is 17.
Step 1: Since 799 > 510, we apply the division lemma to 799 and 510, to get
799 = 510 x 1 + 289
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 289 and 510, to get
510 = 289 x 1 + 221
Step 3: We consider the new divisor 289 and the new remainder 221, and apply the division lemma to get
289 = 221 x 1 + 68
We consider the new divisor 221 and the new remainder 68,and apply the division lemma to get
221 = 68 x 3 + 17
We consider the new divisor 68 and the new remainder 17,and apply the division lemma to get
68 = 17 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 510 and 799 is 17
Notice that 17 = HCF(68,17) = HCF(221,68) = HCF(289,221) = HCF(510,289) = HCF(799,510) .
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 510, 799?
Answer: HCF of 510, 799 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 510, 799 using Euclid's Algorithm?
Answer: For arbitrary numbers 510, 799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.