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 3801, 2925 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3801, 2925 is 3 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 3801, 2925 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 3801, 2925 is 3.
HCF(3801, 2925) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3801, 2925 is 3.
Step 1: Since 3801 > 2925, we apply the division lemma to 3801 and 2925, to get
3801 = 2925 x 1 + 876
Step 2: Since the reminder 2925 ≠ 0, we apply division lemma to 876 and 2925, to get
2925 = 876 x 3 + 297
Step 3: We consider the new divisor 876 and the new remainder 297, and apply the division lemma to get
876 = 297 x 2 + 282
We consider the new divisor 297 and the new remainder 282,and apply the division lemma to get
297 = 282 x 1 + 15
We consider the new divisor 282 and the new remainder 15,and apply the division lemma to get
282 = 15 x 18 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3801 and 2925 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(282,15) = HCF(297,282) = HCF(876,297) = HCF(2925,876) = HCF(3801,2925) .
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 3801, 2925?
Answer: HCF of 3801, 2925 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3801, 2925 using Euclid's Algorithm?
Answer: For arbitrary numbers 3801, 2925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.