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 591, 916 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 591, 916 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 591, 916 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 591, 916 is 1.
HCF(591, 916) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 591, 916 is 1.
Step 1: Since 916 > 591, we apply the division lemma to 916 and 591, to get
916 = 591 x 1 + 325
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 325 and 591, to get
591 = 325 x 1 + 266
Step 3: We consider the new divisor 325 and the new remainder 266, and apply the division lemma to get
325 = 266 x 1 + 59
We consider the new divisor 266 and the new remainder 59,and apply the division lemma to get
266 = 59 x 4 + 30
We consider the new divisor 59 and the new remainder 30,and apply the division lemma to get
59 = 30 x 1 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 591 and 916 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(59,30) = HCF(266,59) = HCF(325,266) = HCF(591,325) = HCF(916,591) .
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 591, 916?
Answer: HCF of 591, 916 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 591, 916 using Euclid's Algorithm?
Answer: For arbitrary numbers 591, 916 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.