Highest Common Factor of 2199, 3960 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 2199, 3960 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2199, 3960 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 2199, 3960 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 2199, 3960 is 3.
HCF(2199, 3960) = 3
HCF of 2199, 3960 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2199, 3960 is 3.
Highest Common Factor of 2199,3960 is 3
Step 1: Since 3960 > 2199, we apply the division lemma to 3960 and 2199, to get
3960 = 2199 x 1 + 1761
Step 2: Since the reminder 2199 ≠ 0, we apply division lemma to 1761 and 2199, to get
2199 = 1761 x 1 + 438
Step 3: We consider the new divisor 1761 and the new remainder 438, and apply the division lemma to get
1761 = 438 x 4 + 9
We consider the new divisor 438 and the new remainder 9,and apply the division lemma to get
438 = 9 x 48 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2199 and 3960 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(438,9) = HCF(1761,438) = HCF(2199,1761) = HCF(3960,2199) .
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Frequently Asked Questions on HCF of 2199, 3960 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 2199, 3960?
Answer: HCF of 2199, 3960 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2199, 3960 using Euclid's Algorithm?
Answer: For arbitrary numbers 2199, 3960 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.