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 915, 244, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 915, 244, 571 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 915, 244, 571 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 915, 244, 571 is 1.
HCF(915, 244, 571) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 915, 244, 571 is 1.
Step 1: Since 915 > 244, we apply the division lemma to 915 and 244, to get
915 = 244 x 3 + 183
Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 183 and 244, to get
244 = 183 x 1 + 61
Step 3: We consider the new divisor 183 and the new remainder 61, and apply the division lemma to get
183 = 61 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 61, the HCF of 915 and 244 is 61
Notice that 61 = HCF(183,61) = HCF(244,183) = HCF(915,244) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 61, we apply the division lemma to 571 and 61, to get
571 = 61 x 9 + 22
Step 2: Since the reminder 61 ≠ 0, we apply division lemma to 22 and 61, to get
61 = 22 x 2 + 17
Step 3: We consider the new divisor 22 and the new remainder 17, and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 61 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(61,22) = HCF(571,61) .
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 915, 244, 571?
Answer: HCF of 915, 244, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 915, 244, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 915, 244, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.