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, 4400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 831, 4400 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, 4400 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, 4400 is 1.
HCF(831, 4400) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 831, 4400 is 1.
Step 1: Since 4400 > 831, we apply the division lemma to 4400 and 831, to get
4400 = 831 x 5 + 245
Step 2: Since the reminder 831 ≠ 0, we apply division lemma to 245 and 831, to get
831 = 245 x 3 + 96
Step 3: We consider the new divisor 245 and the new remainder 96, and apply the division lemma to get
245 = 96 x 2 + 53
We consider the new divisor 96 and the new remainder 53,and apply the division lemma to get
96 = 53 x 1 + 43
We consider the new divisor 53 and the new remainder 43,and apply the division lemma to get
53 = 43 x 1 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 831 and 4400 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(53,43) = HCF(96,53) = HCF(245,96) = HCF(831,245) = HCF(4400,831) .
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, 4400?
Answer: HCF of 831, 4400 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 831, 4400 using Euclid's Algorithm?
Answer: For arbitrary numbers 831, 4400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.