Highest Common Factor of 3540, 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 3540, 2500 i.e. 20 the largest integer that leaves a remainder zero for all numbers.
HCF of 3540, 2500 is 20 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 3540, 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 3540, 2500 is 20.
HCF(3540, 2500) = 20
HCF of 3540, 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 3540, 2500 is 20.
Highest Common Factor of 3540,2500 is 20
Step 1: Since 3540 > 2500, we apply the division lemma to 3540 and 2500, to get
3540 = 2500 x 1 + 1040
Step 2: Since the reminder 2500 ≠ 0, we apply division lemma to 1040 and 2500, to get
2500 = 1040 x 2 + 420
Step 3: We consider the new divisor 1040 and the new remainder 420, and apply the division lemma to get
1040 = 420 x 2 + 200
We consider the new divisor 420 and the new remainder 200,and apply the division lemma to get
420 = 200 x 2 + 20
We consider the new divisor 200 and the new remainder 20,and apply the division lemma to get
200 = 20 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 3540 and 2500 is 20
Notice that 20 = HCF(200,20) = HCF(420,200) = HCF(1040,420) = HCF(2500,1040) = HCF(3540,2500) .
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Frequently Asked Questions on HCF of 3540, 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 3540, 2500?
Answer: HCF of 3540, 2500 is 20 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3540, 2500 using Euclid's Algorithm?
Answer: For arbitrary numbers 3540, 2500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.