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 9074, 2063, 52044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9074, 2063, 52044 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 9074, 2063, 52044 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 9074, 2063, 52044 is 1.
HCF(9074, 2063, 52044) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9074, 2063, 52044 is 1.
Step 1: Since 9074 > 2063, we apply the division lemma to 9074 and 2063, to get
9074 = 2063 x 4 + 822
Step 2: Since the reminder 2063 ≠ 0, we apply division lemma to 822 and 2063, to get
2063 = 822 x 2 + 419
Step 3: We consider the new divisor 822 and the new remainder 419, and apply the division lemma to get
822 = 419 x 1 + 403
We consider the new divisor 419 and the new remainder 403,and apply the division lemma to get
419 = 403 x 1 + 16
We consider the new divisor 403 and the new remainder 16,and apply the division lemma to get
403 = 16 x 25 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 9074 and 2063 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(403,16) = HCF(419,403) = HCF(822,419) = HCF(2063,822) = HCF(9074,2063) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52044 > 1, we apply the division lemma to 52044 and 1, to get
52044 = 1 x 52044 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52044 is 1
Notice that 1 = HCF(52044,1) .
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 9074, 2063, 52044?
Answer: HCF of 9074, 2063, 52044 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9074, 2063, 52044 using Euclid's Algorithm?
Answer: For arbitrary numbers 9074, 2063, 52044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.