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 909, 591 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 909, 591 is 3 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 909, 591 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 909, 591 is 3.
HCF(909, 591) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 909, 591 is 3.
Step 1: Since 909 > 591, we apply the division lemma to 909 and 591, to get
909 = 591 x 1 + 318
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 318 and 591, to get
591 = 318 x 1 + 273
Step 3: We consider the new divisor 318 and the new remainder 273, and apply the division lemma to get
318 = 273 x 1 + 45
We consider the new divisor 273 and the new remainder 45,and apply the division lemma to get
273 = 45 x 6 + 3
We consider the new divisor 45 and the new remainder 3,and apply the division lemma to get
45 = 3 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 909 and 591 is 3
Notice that 3 = HCF(45,3) = HCF(273,45) = HCF(318,273) = HCF(591,318) = HCF(909,591) .
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 909, 591?
Answer: HCF of 909, 591 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 909, 591 using Euclid's Algorithm?
Answer: For arbitrary numbers 909, 591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.