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 2541, 3250 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2541, 3250 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 2541, 3250 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 2541, 3250 is 1.
HCF(2541, 3250) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2541, 3250 is 1.
Step 1: Since 3250 > 2541, we apply the division lemma to 3250 and 2541, to get
3250 = 2541 x 1 + 709
Step 2: Since the reminder 2541 ≠ 0, we apply division lemma to 709 and 2541, to get
2541 = 709 x 3 + 414
Step 3: We consider the new divisor 709 and the new remainder 414, and apply the division lemma to get
709 = 414 x 1 + 295
We consider the new divisor 414 and the new remainder 295,and apply the division lemma to get
414 = 295 x 1 + 119
We consider the new divisor 295 and the new remainder 119,and apply the division lemma to get
295 = 119 x 2 + 57
We consider the new divisor 119 and the new remainder 57,and apply the division lemma to get
119 = 57 x 2 + 5
We consider the new divisor 57 and the new remainder 5,and apply the division lemma to get
57 = 5 x 11 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 2541 and 3250 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(57,5) = HCF(119,57) = HCF(295,119) = HCF(414,295) = HCF(709,414) = HCF(2541,709) = HCF(3250,2541) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2541, 3250?
Answer: HCF of 2541, 3250 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2541, 3250 using Euclid's Algorithm?
Answer: For arbitrary numbers 2541, 3250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.