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 2791, 6296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2791, 6296 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 2791, 6296 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 2791, 6296 is 1.
HCF(2791, 6296) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2791, 6296 is 1.
Step 1: Since 6296 > 2791, we apply the division lemma to 6296 and 2791, to get
6296 = 2791 x 2 + 714
Step 2: Since the reminder 2791 ≠ 0, we apply division lemma to 714 and 2791, to get
2791 = 714 x 3 + 649
Step 3: We consider the new divisor 714 and the new remainder 649, and apply the division lemma to get
714 = 649 x 1 + 65
We consider the new divisor 649 and the new remainder 65,and apply the division lemma to get
649 = 65 x 9 + 64
We consider the new divisor 65 and the new remainder 64,and apply the division lemma to get
65 = 64 x 1 + 1
We consider the new divisor 64 and the new remainder 1,and apply the division lemma to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2791 and 6296 is 1
Notice that 1 = HCF(64,1) = HCF(65,64) = HCF(649,65) = HCF(714,649) = HCF(2791,714) = HCF(6296,2791) .
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 2791, 6296?
Answer: HCF of 2791, 6296 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2791, 6296 using Euclid's Algorithm?
Answer: For arbitrary numbers 2791, 6296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.