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 6512, 3510 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6512, 3510 is 2 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 6512, 3510 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 6512, 3510 is 2.
HCF(6512, 3510) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6512, 3510 is 2.
Step 1: Since 6512 > 3510, we apply the division lemma to 6512 and 3510, to get
6512 = 3510 x 1 + 3002
Step 2: Since the reminder 3510 ≠ 0, we apply division lemma to 3002 and 3510, to get
3510 = 3002 x 1 + 508
Step 3: We consider the new divisor 3002 and the new remainder 508, and apply the division lemma to get
3002 = 508 x 5 + 462
We consider the new divisor 508 and the new remainder 462,and apply the division lemma to get
508 = 462 x 1 + 46
We consider the new divisor 462 and the new remainder 46,and apply the division lemma to get
462 = 46 x 10 + 2
We consider the new divisor 46 and the new remainder 2,and apply the division lemma to get
46 = 2 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6512 and 3510 is 2
Notice that 2 = HCF(46,2) = HCF(462,46) = HCF(508,462) = HCF(3002,508) = HCF(3510,3002) = HCF(6512,3510) .
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 6512, 3510?
Answer: HCF of 6512, 3510 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6512, 3510 using Euclid's Algorithm?
Answer: For arbitrary numbers 6512, 3510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.