Highest Common Factor of 2180, 6247 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 2180, 6247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2180, 6247 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 2180, 6247 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 2180, 6247 is 1.
HCF(2180, 6247) = 1
HCF of 2180, 6247 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2180, 6247 is 1.
Highest Common Factor of 2180,6247 is 1
Step 1: Since 6247 > 2180, we apply the division lemma to 6247 and 2180, to get
6247 = 2180 x 2 + 1887
Step 2: Since the reminder 2180 ≠ 0, we apply division lemma to 1887 and 2180, to get
2180 = 1887 x 1 + 293
Step 3: We consider the new divisor 1887 and the new remainder 293, and apply the division lemma to get
1887 = 293 x 6 + 129
We consider the new divisor 293 and the new remainder 129,and apply the division lemma to get
293 = 129 x 2 + 35
We consider the new divisor 129 and the new remainder 35,and apply the division lemma to get
129 = 35 x 3 + 24
We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get
35 = 24 x 1 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2180 and 6247 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(129,35) = HCF(293,129) = HCF(1887,293) = HCF(2180,1887) = HCF(6247,2180) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2180, 6247 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 2180, 6247?
Answer: HCF of 2180, 6247 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2180, 6247 using Euclid's Algorithm?
Answer: For arbitrary numbers 2180, 6247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
