Highest Common Factor of 3978, 2211 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 3978, 2211 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3978, 2211 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 3978, 2211 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 3978, 2211 is 3.
HCF(3978, 2211) = 3
HCF of 3978, 2211 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3978, 2211 is 3.
Highest Common Factor of 3978,2211 is 3
Step 1: Since 3978 > 2211, we apply the division lemma to 3978 and 2211, to get
3978 = 2211 x 1 + 1767
Step 2: Since the reminder 2211 ≠ 0, we apply division lemma to 1767 and 2211, to get
2211 = 1767 x 1 + 444
Step 3: We consider the new divisor 1767 and the new remainder 444, and apply the division lemma to get
1767 = 444 x 3 + 435
We consider the new divisor 444 and the new remainder 435,and apply the division lemma to get
444 = 435 x 1 + 9
We consider the new divisor 435 and the new remainder 9,and apply the division lemma to get
435 = 9 x 48 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3978 and 2211 is 3
Notice that 3 = HCF(9,3) = HCF(435,9) = HCF(444,435) = HCF(1767,444) = HCF(2211,1767) = HCF(3978,2211) .
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Frequently Asked Questions on HCF of 3978, 2211 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 3978, 2211?
Answer: HCF of 3978, 2211 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3978, 2211 using Euclid's Algorithm?
Answer: For arbitrary numbers 3978, 2211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.