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 2675, 3581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2675, 3581 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 2675, 3581 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 2675, 3581 is 1.
HCF(2675, 3581) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2675, 3581 is 1.
Step 1: Since 3581 > 2675, we apply the division lemma to 3581 and 2675, to get
3581 = 2675 x 1 + 906
Step 2: Since the reminder 2675 ≠ 0, we apply division lemma to 906 and 2675, to get
2675 = 906 x 2 + 863
Step 3: We consider the new divisor 906 and the new remainder 863, and apply the division lemma to get
906 = 863 x 1 + 43
We consider the new divisor 863 and the new remainder 43,and apply the division lemma to get
863 = 43 x 20 + 3
We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get
43 = 3 x 14 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2675 and 3581 is 1
Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(863,43) = HCF(906,863) = HCF(2675,906) = HCF(3581,2675) .
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 2675, 3581?
Answer: HCF of 2675, 3581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2675, 3581 using Euclid's Algorithm?
Answer: For arbitrary numbers 2675, 3581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.