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 575, 883, 223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 883, 223 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 575, 883, 223 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 575, 883, 223 is 1.
HCF(575, 883, 223) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 575, 883, 223 is 1.
Step 1: Since 883 > 575, we apply the division lemma to 883 and 575, to get
883 = 575 x 1 + 308
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 308 and 575, to get
575 = 308 x 1 + 267
Step 3: We consider the new divisor 308 and the new remainder 267, and apply the division lemma to get
308 = 267 x 1 + 41
We consider the new divisor 267 and the new remainder 41,and apply the division lemma to get
267 = 41 x 6 + 21
We consider the new divisor 41 and the new remainder 21,and apply the division lemma to get
41 = 21 x 1 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 575 and 883 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(41,21) = HCF(267,41) = HCF(308,267) = HCF(575,308) = HCF(883,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 223 > 1, we apply the division lemma to 223 and 1, to get
223 = 1 x 223 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 223 is 1
Notice that 1 = HCF(223,1) .
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 575, 883, 223?
Answer: HCF of 575, 883, 223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 883, 223 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 883, 223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.