Highest Common Factor of 3409, 2500 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 3409, 2500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3409, 2500 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 3409, 2500 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 3409, 2500 is 1.
HCF(3409, 2500) = 1
HCF of 3409, 2500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3409, 2500 is 1.
Highest Common Factor of 3409,2500 is 1
Step 1: Since 3409 > 2500, we apply the division lemma to 3409 and 2500, to get
3409 = 2500 x 1 + 909
Step 2: Since the reminder 2500 ≠ 0, we apply division lemma to 909 and 2500, to get
2500 = 909 x 2 + 682
Step 3: We consider the new divisor 909 and the new remainder 682, and apply the division lemma to get
909 = 682 x 1 + 227
We consider the new divisor 682 and the new remainder 227,and apply the division lemma to get
682 = 227 x 3 + 1
We consider the new divisor 227 and the new remainder 1,and apply the division lemma to get
227 = 1 x 227 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3409 and 2500 is 1
Notice that 1 = HCF(227,1) = HCF(682,227) = HCF(909,682) = HCF(2500,909) = HCF(3409,2500) .
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Frequently Asked Questions on HCF of 3409, 2500 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 3409, 2500?
Answer: HCF of 3409, 2500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3409, 2500 using Euclid's Algorithm?
Answer: For arbitrary numbers 3409, 2500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.