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 2568, 6911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2568, 6911 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 2568, 6911 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 2568, 6911 is 1.
HCF(2568, 6911) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2568, 6911 is 1.
Step 1: Since 6911 > 2568, we apply the division lemma to 6911 and 2568, to get
6911 = 2568 x 2 + 1775
Step 2: Since the reminder 2568 ≠ 0, we apply division lemma to 1775 and 2568, to get
2568 = 1775 x 1 + 793
Step 3: We consider the new divisor 1775 and the new remainder 793, and apply the division lemma to get
1775 = 793 x 2 + 189
We consider the new divisor 793 and the new remainder 189,and apply the division lemma to get
793 = 189 x 4 + 37
We consider the new divisor 189 and the new remainder 37,and apply the division lemma to get
189 = 37 x 5 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2568 and 6911 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(189,37) = HCF(793,189) = HCF(1775,793) = HCF(2568,1775) = HCF(6911,2568) .
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 2568, 6911?
Answer: HCF of 2568, 6911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2568, 6911 using Euclid's Algorithm?
Answer: For arbitrary numbers 2568, 6911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.