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 2671, 6560 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2671, 6560 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 2671, 6560 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 2671, 6560 is 1.
HCF(2671, 6560) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2671, 6560 is 1.
Step 1: Since 6560 > 2671, we apply the division lemma to 6560 and 2671, to get
6560 = 2671 x 2 + 1218
Step 2: Since the reminder 2671 ≠ 0, we apply division lemma to 1218 and 2671, to get
2671 = 1218 x 2 + 235
Step 3: We consider the new divisor 1218 and the new remainder 235, and apply the division lemma to get
1218 = 235 x 5 + 43
We consider the new divisor 235 and the new remainder 43,and apply the division lemma to get
235 = 43 x 5 + 20
We consider the new divisor 43 and the new remainder 20,and apply the division lemma to get
43 = 20 x 2 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2671 and 6560 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(43,20) = HCF(235,43) = HCF(1218,235) = HCF(2671,1218) = HCF(6560,2671) .
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 2671, 6560?
Answer: HCF of 2671, 6560 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2671, 6560 using Euclid's Algorithm?
Answer: For arbitrary numbers 2671, 6560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.