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 3880, 2066 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3880, 2066 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 3880, 2066 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 3880, 2066 is 2.
HCF(3880, 2066) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3880, 2066 is 2.
Step 1: Since 3880 > 2066, we apply the division lemma to 3880 and 2066, to get
3880 = 2066 x 1 + 1814
Step 2: Since the reminder 2066 ≠ 0, we apply division lemma to 1814 and 2066, to get
2066 = 1814 x 1 + 252
Step 3: We consider the new divisor 1814 and the new remainder 252, and apply the division lemma to get
1814 = 252 x 7 + 50
We consider the new divisor 252 and the new remainder 50,and apply the division lemma to get
252 = 50 x 5 + 2
We consider the new divisor 50 and the new remainder 2,and apply the division lemma to get
50 = 2 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3880 and 2066 is 2
Notice that 2 = HCF(50,2) = HCF(252,50) = HCF(1814,252) = HCF(2066,1814) = HCF(3880,2066) .
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 3880, 2066?
Answer: HCF of 3880, 2066 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3880, 2066 using Euclid's Algorithm?
Answer: For arbitrary numbers 3880, 2066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.