Highest Common Factor of 9041, 2561 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 9041, 2561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9041, 2561 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 9041, 2561 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 9041, 2561 is 1.
HCF(9041, 2561) = 1
HCF of 9041, 2561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9041, 2561 is 1.
Highest Common Factor of 9041,2561 is 1
Step 1: Since 9041 > 2561, we apply the division lemma to 9041 and 2561, to get
9041 = 2561 x 3 + 1358
Step 2: Since the reminder 2561 ≠ 0, we apply division lemma to 1358 and 2561, to get
2561 = 1358 x 1 + 1203
Step 3: We consider the new divisor 1358 and the new remainder 1203, and apply the division lemma to get
1358 = 1203 x 1 + 155
We consider the new divisor 1203 and the new remainder 155,and apply the division lemma to get
1203 = 155 x 7 + 118
We consider the new divisor 155 and the new remainder 118,and apply the division lemma to get
155 = 118 x 1 + 37
We consider the new divisor 118 and the new remainder 37,and apply the division lemma to get
118 = 37 x 3 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 9041 and 2561 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(118,37) = HCF(155,118) = HCF(1203,155) = HCF(1358,1203) = HCF(2561,1358) = HCF(9041,2561) .
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Frequently Asked Questions on HCF of 9041, 2561 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 9041, 2561?
Answer: HCF of 9041, 2561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9041, 2561 using Euclid's Algorithm?
Answer: For arbitrary numbers 9041, 2561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
