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 9052, 4905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9052, 4905 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 9052, 4905 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 9052, 4905 is 1.
HCF(9052, 4905) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9052, 4905 is 1.
Step 1: Since 9052 > 4905, we apply the division lemma to 9052 and 4905, to get
9052 = 4905 x 1 + 4147
Step 2: Since the reminder 4905 ≠ 0, we apply division lemma to 4147 and 4905, to get
4905 = 4147 x 1 + 758
Step 3: We consider the new divisor 4147 and the new remainder 758, and apply the division lemma to get
4147 = 758 x 5 + 357
We consider the new divisor 758 and the new remainder 357,and apply the division lemma to get
758 = 357 x 2 + 44
We consider the new divisor 357 and the new remainder 44,and apply the division lemma to get
357 = 44 x 8 + 5
We consider the new divisor 44 and the new remainder 5,and apply the division lemma to get
44 = 5 x 8 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 9052 and 4905 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(44,5) = HCF(357,44) = HCF(758,357) = HCF(4147,758) = HCF(4905,4147) = HCF(9052,4905) .
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 9052, 4905?
Answer: HCF of 9052, 4905 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9052, 4905 using Euclid's Algorithm?
Answer: For arbitrary numbers 9052, 4905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.