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 2790, 4078 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2790, 4078 is 2 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 2790, 4078 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 2790, 4078 is 2.
HCF(2790, 4078) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2790, 4078 is 2.
Step 1: Since 4078 > 2790, we apply the division lemma to 4078 and 2790, to get
4078 = 2790 x 1 + 1288
Step 2: Since the reminder 2790 ≠ 0, we apply division lemma to 1288 and 2790, to get
2790 = 1288 x 2 + 214
Step 3: We consider the new divisor 1288 and the new remainder 214, and apply the division lemma to get
1288 = 214 x 6 + 4
We consider the new divisor 214 and the new remainder 4,and apply the division lemma to get
214 = 4 x 53 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2790 and 4078 is 2
Notice that 2 = HCF(4,2) = HCF(214,4) = HCF(1288,214) = HCF(2790,1288) = HCF(4078,2790) .
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 2790, 4078?
Answer: HCF of 2790, 4078 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2790, 4078 using Euclid's Algorithm?
Answer: For arbitrary numbers 2790, 4078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.