Highest Common Factor of 3927, 2205 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 3927, 2205 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 3927, 2205 is 21 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 3927, 2205 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 3927, 2205 is 21.
HCF(3927, 2205) = 21
HCF of 3927, 2205 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3927, 2205 is 21.
Highest Common Factor of 3927,2205 is 21
Step 1: Since 3927 > 2205, we apply the division lemma to 3927 and 2205, to get
3927 = 2205 x 1 + 1722
Step 2: Since the reminder 2205 ≠ 0, we apply division lemma to 1722 and 2205, to get
2205 = 1722 x 1 + 483
Step 3: We consider the new divisor 1722 and the new remainder 483, and apply the division lemma to get
1722 = 483 x 3 + 273
We consider the new divisor 483 and the new remainder 273,and apply the division lemma to get
483 = 273 x 1 + 210
We consider the new divisor 273 and the new remainder 210,and apply the division lemma to get
273 = 210 x 1 + 63
We consider the new divisor 210 and the new remainder 63,and apply the division lemma to get
210 = 63 x 3 + 21
We consider the new divisor 63 and the new remainder 21,and apply the division lemma to get
63 = 21 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 3927 and 2205 is 21
Notice that 21 = HCF(63,21) = HCF(210,63) = HCF(273,210) = HCF(483,273) = HCF(1722,483) = HCF(2205,1722) = HCF(3927,2205) .
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Frequently Asked Questions on HCF of 3927, 2205 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 3927, 2205?
Answer: HCF of 3927, 2205 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3927, 2205 using Euclid's Algorithm?
Answer: For arbitrary numbers 3927, 2205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.