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 576, 4290, 1139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 576, 4290, 1139 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 576, 4290, 1139 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 576, 4290, 1139 is 1.
HCF(576, 4290, 1139) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 576, 4290, 1139 is 1.
Step 1: Since 4290 > 576, we apply the division lemma to 4290 and 576, to get
4290 = 576 x 7 + 258
Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 258 and 576, to get
576 = 258 x 2 + 60
Step 3: We consider the new divisor 258 and the new remainder 60, and apply the division lemma to get
258 = 60 x 4 + 18
We consider the new divisor 60 and the new remainder 18,and apply the division lemma to get
60 = 18 x 3 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 576 and 4290 is 6
Notice that 6 = HCF(18,6) = HCF(60,18) = HCF(258,60) = HCF(576,258) = HCF(4290,576) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1139 > 6, we apply the division lemma to 1139 and 6, to get
1139 = 6 x 189 + 5
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get
6 = 5 x 1 + 1
Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 1139 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(1139,6) .
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 576, 4290, 1139?
Answer: HCF of 576, 4290, 1139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 576, 4290, 1139 using Euclid's Algorithm?
Answer: For arbitrary numbers 576, 4290, 1139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.