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 4199, 5905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4199, 5905 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 4199, 5905 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 4199, 5905 is 1.
HCF(4199, 5905) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4199, 5905 is 1.
Step 1: Since 5905 > 4199, we apply the division lemma to 5905 and 4199, to get
5905 = 4199 x 1 + 1706
Step 2: Since the reminder 4199 ≠ 0, we apply division lemma to 1706 and 4199, to get
4199 = 1706 x 2 + 787
Step 3: We consider the new divisor 1706 and the new remainder 787, and apply the division lemma to get
1706 = 787 x 2 + 132
We consider the new divisor 787 and the new remainder 132,and apply the division lemma to get
787 = 132 x 5 + 127
We consider the new divisor 132 and the new remainder 127,and apply the division lemma to get
132 = 127 x 1 + 5
We consider the new divisor 127 and the new remainder 5,and apply the division lemma to get
127 = 5 x 25 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4199 and 5905 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(127,5) = HCF(132,127) = HCF(787,132) = HCF(1706,787) = HCF(4199,1706) = HCF(5905,4199) .
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 4199, 5905?
Answer: HCF of 4199, 5905 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4199, 5905 using Euclid's Algorithm?
Answer: For arbitrary numbers 4199, 5905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.