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 5415, 3891 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5415, 3891 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 5415, 3891 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 5415, 3891 is 3.
HCF(5415, 3891) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5415, 3891 is 3.
Step 1: Since 5415 > 3891, we apply the division lemma to 5415 and 3891, to get
5415 = 3891 x 1 + 1524
Step 2: Since the reminder 3891 ≠ 0, we apply division lemma to 1524 and 3891, to get
3891 = 1524 x 2 + 843
Step 3: We consider the new divisor 1524 and the new remainder 843, and apply the division lemma to get
1524 = 843 x 1 + 681
We consider the new divisor 843 and the new remainder 681,and apply the division lemma to get
843 = 681 x 1 + 162
We consider the new divisor 681 and the new remainder 162,and apply the division lemma to get
681 = 162 x 4 + 33
We consider the new divisor 162 and the new remainder 33,and apply the division lemma to get
162 = 33 x 4 + 30
We consider the new divisor 33 and the new remainder 30,and apply the division lemma to get
33 = 30 x 1 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5415 and 3891 is 3
Notice that 3 = HCF(30,3) = HCF(33,30) = HCF(162,33) = HCF(681,162) = HCF(843,681) = HCF(1524,843) = HCF(3891,1524) = HCF(5415,3891) .
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 5415, 3891?
Answer: HCF of 5415, 3891 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5415, 3891 using Euclid's Algorithm?
Answer: For arbitrary numbers 5415, 3891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.