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 9087, 3777, 54583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9087, 3777, 54583 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 9087, 3777, 54583 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 9087, 3777, 54583 is 1.
HCF(9087, 3777, 54583) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9087, 3777, 54583 is 1.
Step 1: Since 9087 > 3777, we apply the division lemma to 9087 and 3777, to get
9087 = 3777 x 2 + 1533
Step 2: Since the reminder 3777 ≠ 0, we apply division lemma to 1533 and 3777, to get
3777 = 1533 x 2 + 711
Step 3: We consider the new divisor 1533 and the new remainder 711, and apply the division lemma to get
1533 = 711 x 2 + 111
We consider the new divisor 711 and the new remainder 111,and apply the division lemma to get
711 = 111 x 6 + 45
We consider the new divisor 111 and the new remainder 45,and apply the division lemma to get
111 = 45 x 2 + 21
We consider the new divisor 45 and the new remainder 21,and apply the division lemma to get
45 = 21 x 2 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9087 and 3777 is 3
Notice that 3 = HCF(21,3) = HCF(45,21) = HCF(111,45) = HCF(711,111) = HCF(1533,711) = HCF(3777,1533) = HCF(9087,3777) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54583 > 3, we apply the division lemma to 54583 and 3, to get
54583 = 3 x 18194 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 54583 is 1
Notice that 1 = HCF(3,1) = HCF(54583,3) .
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 9087, 3777, 54583?
Answer: HCF of 9087, 3777, 54583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9087, 3777, 54583 using Euclid's Algorithm?
Answer: For arbitrary numbers 9087, 3777, 54583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.