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 3055, 2747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3055, 2747 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 3055, 2747 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 3055, 2747 is 1.
HCF(3055, 2747) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3055, 2747 is 1.
Step 1: Since 3055 > 2747, we apply the division lemma to 3055 and 2747, to get
3055 = 2747 x 1 + 308
Step 2: Since the reminder 2747 ≠ 0, we apply division lemma to 308 and 2747, to get
2747 = 308 x 8 + 283
Step 3: We consider the new divisor 308 and the new remainder 283, and apply the division lemma to get
308 = 283 x 1 + 25
We consider the new divisor 283 and the new remainder 25,and apply the division lemma to get
283 = 25 x 11 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3055 and 2747 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(283,25) = HCF(308,283) = HCF(2747,308) = HCF(3055,2747) .
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 3055, 2747?
Answer: HCF of 3055, 2747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3055, 2747 using Euclid's Algorithm?
Answer: For arbitrary numbers 3055, 2747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.