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, 788 i.e. 197 the largest integer that leaves a remainder zero for all numbers.
HCF of 591, 788 is 197 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, 788 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, 788 is 197.
HCF(591, 788) = 197
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 591, 788 is 197.
Step 1: Since 788 > 591, we apply the division lemma to 788 and 591, to get
788 = 591 x 1 + 197
Step 2: Since the reminder 591 ≠ 0, we apply division lemma to 197 and 591, to get
591 = 197 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 197, the HCF of 591 and 788 is 197
Notice that 197 = HCF(591,197) = HCF(788,591) .
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, 788?
Answer: HCF of 591, 788 is 197 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 591, 788 using Euclid's Algorithm?
Answer: For arbitrary numbers 591, 788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.