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 4801, 1578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4801, 1578 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 4801, 1578 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 4801, 1578 is 1.
HCF(4801, 1578) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4801, 1578 is 1.
Step 1: Since 4801 > 1578, we apply the division lemma to 4801 and 1578, to get
4801 = 1578 x 3 + 67
Step 2: Since the reminder 1578 ≠ 0, we apply division lemma to 67 and 1578, to get
1578 = 67 x 23 + 37
Step 3: We consider the new divisor 67 and the new remainder 37, and apply the division lemma to get
67 = 37 x 1 + 30
We consider the new divisor 37 and the new remainder 30,and apply the division lemma to get
37 = 30 x 1 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 4801 and 1578 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(67,37) = HCF(1578,67) = HCF(4801,1578) .
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 4801, 1578?
Answer: HCF of 4801, 1578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4801, 1578 using Euclid's Algorithm?
Answer: For arbitrary numbers 4801, 1578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.