Highest Common Factor of 2561, 7522 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 2561, 7522 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2561, 7522 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 2561, 7522 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 2561, 7522 is 1.
HCF(2561, 7522) = 1
HCF of 2561, 7522 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2561, 7522 is 1.
Highest Common Factor of 2561,7522 is 1
Step 1: Since 7522 > 2561, we apply the division lemma to 7522 and 2561, to get
7522 = 2561 x 2 + 2400
Step 2: Since the reminder 2561 ≠ 0, we apply division lemma to 2400 and 2561, to get
2561 = 2400 x 1 + 161
Step 3: We consider the new divisor 2400 and the new remainder 161, and apply the division lemma to get
2400 = 161 x 14 + 146
We consider the new divisor 161 and the new remainder 146,and apply the division lemma to get
161 = 146 x 1 + 15
We consider the new divisor 146 and the new remainder 15,and apply the division lemma to get
146 = 15 x 9 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2561 and 7522 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(146,15) = HCF(161,146) = HCF(2400,161) = HCF(2561,2400) = HCF(7522,2561) .
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Frequently Asked Questions on HCF of 2561, 7522 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 2561, 7522?
Answer: HCF of 2561, 7522 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2561, 7522 using Euclid's Algorithm?
Answer: For arbitrary numbers 2561, 7522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.