Highest Common Factor of 2741, 5061 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 2741, 5061 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2741, 5061 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 2741, 5061 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 2741, 5061 is 1.
HCF(2741, 5061) = 1
HCF of 2741, 5061 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2741, 5061 is 1.
Highest Common Factor of 2741,5061 is 1
Step 1: Since 5061 > 2741, we apply the division lemma to 5061 and 2741, to get
5061 = 2741 x 1 + 2320
Step 2: Since the reminder 2741 ≠ 0, we apply division lemma to 2320 and 2741, to get
2741 = 2320 x 1 + 421
Step 3: We consider the new divisor 2320 and the new remainder 421, and apply the division lemma to get
2320 = 421 x 5 + 215
We consider the new divisor 421 and the new remainder 215,and apply the division lemma to get
421 = 215 x 1 + 206
We consider the new divisor 215 and the new remainder 206,and apply the division lemma to get
215 = 206 x 1 + 9
We consider the new divisor 206 and the new remainder 9,and apply the division lemma to get
206 = 9 x 22 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2741 and 5061 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(206,9) = HCF(215,206) = HCF(421,215) = HCF(2320,421) = HCF(2741,2320) = HCF(5061,2741) .
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Frequently Asked Questions on HCF of 2741, 5061 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 2741, 5061?
Answer: HCF of 2741, 5061 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2741, 5061 using Euclid's Algorithm?
Answer: For arbitrary numbers 2741, 5061 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.