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, 2985 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2180, 2985 is 5 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, 2985 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, 2985 is 5.
HCF(2180, 2985) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2180, 2985 is 5.
Step 1: Since 2985 > 2180, we apply the division lemma to 2985 and 2180, to get
2985 = 2180 x 1 + 805
Step 2: Since the reminder 2180 ≠ 0, we apply division lemma to 805 and 2180, to get
2180 = 805 x 2 + 570
Step 3: We consider the new divisor 805 and the new remainder 570, and apply the division lemma to get
805 = 570 x 1 + 235
We consider the new divisor 570 and the new remainder 235,and apply the division lemma to get
570 = 235 x 2 + 100
We consider the new divisor 235 and the new remainder 100,and apply the division lemma to get
235 = 100 x 2 + 35
We consider the new divisor 100 and the new remainder 35,and apply the division lemma to get
100 = 35 x 2 + 30
We consider the new divisor 35 and the new remainder 30,and apply the division lemma to get
35 = 30 x 1 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2180 and 2985 is 5
Notice that 5 = HCF(30,5) = HCF(35,30) = HCF(100,35) = HCF(235,100) = HCF(570,235) = HCF(805,570) = HCF(2180,805) = HCF(2985,2180) .
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 2180, 2985?
Answer: HCF of 2180, 2985 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2180, 2985 using Euclid's Algorithm?
Answer: For arbitrary numbers 2180, 2985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.