Highest Common Factor of 3012, 4381 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 3012, 4381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3012, 4381 is 1 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 3012, 4381 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 3012, 4381 is 1.
HCF(3012, 4381) = 1
HCF of 3012, 4381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3012, 4381 is 1.
Highest Common Factor of 3012,4381 is 1
Step 1: Since 4381 > 3012, we apply the division lemma to 4381 and 3012, to get
4381 = 3012 x 1 + 1369
Step 2: Since the reminder 3012 ≠ 0, we apply division lemma to 1369 and 3012, to get
3012 = 1369 x 2 + 274
Step 3: We consider the new divisor 1369 and the new remainder 274, and apply the division lemma to get
1369 = 274 x 4 + 273
We consider the new divisor 274 and the new remainder 273,and apply the division lemma to get
274 = 273 x 1 + 1
We consider the new divisor 273 and the new remainder 1,and apply the division lemma to get
273 = 1 x 273 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3012 and 4381 is 1
Notice that 1 = HCF(273,1) = HCF(274,273) = HCF(1369,274) = HCF(3012,1369) = HCF(4381,3012) .
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Frequently Asked Questions on HCF of 3012, 4381 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 3012, 4381?
Answer: HCF of 3012, 4381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3012, 4381 using Euclid's Algorithm?
Answer: For arbitrary numbers 3012, 4381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.