Highest Common Factor of 2507, 6321 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 2507, 6321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2507, 6321 is 1 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 2507, 6321 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 2507, 6321 is 1.
HCF(2507, 6321) = 1
HCF of 2507, 6321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2507, 6321 is 1.
Highest Common Factor of 2507,6321 is 1
Step 1: Since 6321 > 2507, we apply the division lemma to 6321 and 2507, to get
6321 = 2507 x 2 + 1307
Step 2: Since the reminder 2507 ≠ 0, we apply division lemma to 1307 and 2507, to get
2507 = 1307 x 1 + 1200
Step 3: We consider the new divisor 1307 and the new remainder 1200, and apply the division lemma to get
1307 = 1200 x 1 + 107
We consider the new divisor 1200 and the new remainder 107,and apply the division lemma to get
1200 = 107 x 11 + 23
We consider the new divisor 107 and the new remainder 23,and apply the division lemma to get
107 = 23 x 4 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2507 and 6321 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(107,23) = HCF(1200,107) = HCF(1307,1200) = HCF(2507,1307) = HCF(6321,2507) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2507, 6321 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 2507, 6321?
Answer: HCF of 2507, 6321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2507, 6321 using Euclid's Algorithm?
Answer: For arbitrary numbers 2507, 6321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
