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 897, 571, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 897, 571, 279 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 897, 571, 279 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 897, 571, 279 is 1.
HCF(897, 571, 279) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 897, 571, 279 is 1.
Step 1: Since 897 > 571, we apply the division lemma to 897 and 571, to get
897 = 571 x 1 + 326
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 326 and 571, to get
571 = 326 x 1 + 245
Step 3: We consider the new divisor 326 and the new remainder 245, and apply the division lemma to get
326 = 245 x 1 + 81
We consider the new divisor 245 and the new remainder 81,and apply the division lemma to get
245 = 81 x 3 + 2
We consider the new divisor 81 and the new remainder 2,and apply the division lemma to get
81 = 2 x 40 + 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 897 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(81,2) = HCF(245,81) = HCF(326,245) = HCF(571,326) = HCF(897,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 1, we apply the division lemma to 279 and 1, to get
279 = 1 x 279 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 279 is 1
Notice that 1 = HCF(279,1) .
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 897, 571, 279?
Answer: HCF of 897, 571, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 897, 571, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 897, 571, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.