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 831, 5428 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 831, 5428 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 831, 5428 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 831, 5428 is 1.
HCF(831, 5428) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 831, 5428 is 1.
Step 1: Since 5428 > 831, we apply the division lemma to 5428 and 831, to get
5428 = 831 x 6 + 442
Step 2: Since the reminder 831 ≠ 0, we apply division lemma to 442 and 831, to get
831 = 442 x 1 + 389
Step 3: We consider the new divisor 442 and the new remainder 389, and apply the division lemma to get
442 = 389 x 1 + 53
We consider the new divisor 389 and the new remainder 53,and apply the division lemma to get
389 = 53 x 7 + 18
We consider the new divisor 53 and the new remainder 18,and apply the division lemma to get
53 = 18 x 2 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 831 and 5428 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(53,18) = HCF(389,53) = HCF(442,389) = HCF(831,442) = HCF(5428,831) .
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 831, 5428?
Answer: HCF of 831, 5428 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 831, 5428 using Euclid's Algorithm?
Answer: For arbitrary numbers 831, 5428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.