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 3821, 4350 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3821, 4350 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 3821, 4350 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 3821, 4350 is 1.
HCF(3821, 4350) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3821, 4350 is 1.
Step 1: Since 4350 > 3821, we apply the division lemma to 4350 and 3821, to get
4350 = 3821 x 1 + 529
Step 2: Since the reminder 3821 ≠ 0, we apply division lemma to 529 and 3821, to get
3821 = 529 x 7 + 118
Step 3: We consider the new divisor 529 and the new remainder 118, and apply the division lemma to get
529 = 118 x 4 + 57
We consider the new divisor 118 and the new remainder 57,and apply the division lemma to get
118 = 57 x 2 + 4
We consider the new divisor 57 and the new remainder 4,and apply the division lemma to get
57 = 4 x 14 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3821 and 4350 is 1
Notice that 1 = HCF(4,1) = HCF(57,4) = HCF(118,57) = HCF(529,118) = HCF(3821,529) = HCF(4350,3821) .
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 3821, 4350?
Answer: HCF of 3821, 4350 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3821, 4350 using Euclid's Algorithm?
Answer: For arbitrary numbers 3821, 4350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.