Highest Common Factor of 2041, 1247 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 2041, 1247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2041, 1247 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 2041, 1247 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 2041, 1247 is 1.
HCF(2041, 1247) = 1
HCF of 2041, 1247 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2041, 1247 is 1.
Highest Common Factor of 2041,1247 is 1
Step 1: Since 2041 > 1247, we apply the division lemma to 2041 and 1247, to get
2041 = 1247 x 1 + 794
Step 2: Since the reminder 1247 ≠ 0, we apply division lemma to 794 and 1247, to get
1247 = 794 x 1 + 453
Step 3: We consider the new divisor 794 and the new remainder 453, and apply the division lemma to get
794 = 453 x 1 + 341
We consider the new divisor 453 and the new remainder 341,and apply the division lemma to get
453 = 341 x 1 + 112
We consider the new divisor 341 and the new remainder 112,and apply the division lemma to get
341 = 112 x 3 + 5
We consider the new divisor 112 and the new remainder 5,and apply the division lemma to get
112 = 5 x 22 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2041 and 1247 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(112,5) = HCF(341,112) = HCF(453,341) = HCF(794,453) = HCF(1247,794) = HCF(2041,1247) .
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Frequently Asked Questions on HCF of 2041, 1247 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 2041, 1247?
Answer: HCF of 2041, 1247 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2041, 1247 using Euclid's Algorithm?
Answer: For arbitrary numbers 2041, 1247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.