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 3851, 4831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3851, 4831 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 3851, 4831 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 3851, 4831 is 1.
HCF(3851, 4831) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3851, 4831 is 1.
Step 1: Since 4831 > 3851, we apply the division lemma to 4831 and 3851, to get
4831 = 3851 x 1 + 980
Step 2: Since the reminder 3851 ≠ 0, we apply division lemma to 980 and 3851, to get
3851 = 980 x 3 + 911
Step 3: We consider the new divisor 980 and the new remainder 911, and apply the division lemma to get
980 = 911 x 1 + 69
We consider the new divisor 911 and the new remainder 69,and apply the division lemma to get
911 = 69 x 13 + 14
We consider the new divisor 69 and the new remainder 14,and apply the division lemma to get
69 = 14 x 4 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3851 and 4831 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(69,14) = HCF(911,69) = HCF(980,911) = HCF(3851,980) = HCF(4831,3851) .
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 3851, 4831?
Answer: HCF of 3851, 4831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3851, 4831 using Euclid's Algorithm?
Answer: For arbitrary numbers 3851, 4831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.