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 911, 564, 227 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 564, 227 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 911, 564, 227 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 911, 564, 227 is 1.
HCF(911, 564, 227) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 564, 227 is 1.
Step 1: Since 911 > 564, we apply the division lemma to 911 and 564, to get
911 = 564 x 1 + 347
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 347 and 564, to get
564 = 347 x 1 + 217
Step 3: We consider the new divisor 347 and the new remainder 217, and apply the division lemma to get
347 = 217 x 1 + 130
We consider the new divisor 217 and the new remainder 130,and apply the division lemma to get
217 = 130 x 1 + 87
We consider the new divisor 130 and the new remainder 87,and apply the division lemma to get
130 = 87 x 1 + 43
We consider the new divisor 87 and the new remainder 43,and apply the division lemma to get
87 = 43 x 2 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 564 is 1
Notice that 1 = HCF(43,1) = HCF(87,43) = HCF(130,87) = HCF(217,130) = HCF(347,217) = HCF(564,347) = HCF(911,564) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 227 > 1, we apply the division lemma to 227 and 1, to get
227 = 1 x 227 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 227 is 1
Notice that 1 = HCF(227,1) .
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 911, 564, 227?
Answer: HCF of 911, 564, 227 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 564, 227 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 564, 227 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.