Highest Common Factor of 6507, 1830 using Euclid's algorithm
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 6507, 1830 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6507, 1830 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 6507, 1830 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 6507, 1830 is 3.
HCF(6507, 1830) = 3
HCF of 6507, 1830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6507, 1830 is 3.
Highest Common Factor of 6507,1830 is 3
Step 1: Since 6507 > 1830, we apply the division lemma to 6507 and 1830, to get
6507 = 1830 x 3 + 1017
Step 2: Since the reminder 1830 ≠ 0, we apply division lemma to 1017 and 1830, to get
1830 = 1017 x 1 + 813
Step 3: We consider the new divisor 1017 and the new remainder 813, and apply the division lemma to get
1017 = 813 x 1 + 204
We consider the new divisor 813 and the new remainder 204,and apply the division lemma to get
813 = 204 x 3 + 201
We consider the new divisor 204 and the new remainder 201,and apply the division lemma to get
204 = 201 x 1 + 3
We consider the new divisor 201 and the new remainder 3,and apply the division lemma to get
201 = 3 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6507 and 1830 is 3
Notice that 3 = HCF(201,3) = HCF(204,201) = HCF(813,204) = HCF(1017,813) = HCF(1830,1017) = HCF(6507,1830) .
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Frequently Asked Questions on HCF of 6507, 1830 using Euclid's Algorithm
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 6507, 1830?
Answer: HCF of 6507, 1830 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6507, 1830 using Euclid's Algorithm?
Answer: For arbitrary numbers 6507, 1830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.