Highest Common Factor of 588, 827, 880 using Euclid's algorithm
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 588, 827, 880 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 827, 880 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 588, 827, 880 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 588, 827, 880 is 1.
HCF(588, 827, 880) = 1
HCF of 588, 827, 880 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 827, 880 is 1.
Highest Common Factor of 588,827,880 is 1
Step 1: Since 827 > 588, we apply the division lemma to 827 and 588, to get
827 = 588 x 1 + 239
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 239 and 588, to get
588 = 239 x 2 + 110
Step 3: We consider the new divisor 239 and the new remainder 110, and apply the division lemma to get
239 = 110 x 2 + 19
We consider the new divisor 110 and the new remainder 19,and apply the division lemma to get
110 = 19 x 5 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 588 and 827 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(110,19) = HCF(239,110) = HCF(588,239) = HCF(827,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 880 > 1, we apply the division lemma to 880 and 1, to get
880 = 1 x 880 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 880 is 1
Notice that 1 = HCF(880,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 588, 827, 880 using Euclid's Algorithm
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 588, 827, 880?
Answer: HCF of 588, 827, 880 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 827, 880 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 827, 880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
