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 2415, 1941 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2415, 1941 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 2415, 1941 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 2415, 1941 is 3.
HCF(2415, 1941) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2415, 1941 is 3.
Step 1: Since 2415 > 1941, we apply the division lemma to 2415 and 1941, to get
2415 = 1941 x 1 + 474
Step 2: Since the reminder 1941 ≠ 0, we apply division lemma to 474 and 1941, to get
1941 = 474 x 4 + 45
Step 3: We consider the new divisor 474 and the new remainder 45, and apply the division lemma to get
474 = 45 x 10 + 24
We consider the new divisor 45 and the new remainder 24,and apply the division lemma to get
45 = 24 x 1 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2415 and 1941 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(45,24) = HCF(474,45) = HCF(1941,474) = HCF(2415,1941) .
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 2415, 1941?
Answer: HCF of 2415, 1941 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2415, 1941 using Euclid's Algorithm?
Answer: For arbitrary numbers 2415, 1941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.