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 6519, 5010 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6519, 5010 is 3 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 6519, 5010 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 6519, 5010 is 3.
HCF(6519, 5010) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6519, 5010 is 3.
Step 1: Since 6519 > 5010, we apply the division lemma to 6519 and 5010, to get
6519 = 5010 x 1 + 1509
Step 2: Since the reminder 5010 ≠ 0, we apply division lemma to 1509 and 5010, to get
5010 = 1509 x 3 + 483
Step 3: We consider the new divisor 1509 and the new remainder 483, and apply the division lemma to get
1509 = 483 x 3 + 60
We consider the new divisor 483 and the new remainder 60,and apply the division lemma to get
483 = 60 x 8 + 3
We consider the new divisor 60 and the new remainder 3,and apply the division lemma to get
60 = 3 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6519 and 5010 is 3
Notice that 3 = HCF(60,3) = HCF(483,60) = HCF(1509,483) = HCF(5010,1509) = HCF(6519,5010) .
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 6519, 5010?
Answer: HCF of 6519, 5010 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6519, 5010 using Euclid's Algorithm?
Answer: For arbitrary numbers 6519, 5010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.