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 2795, 6804 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2795, 6804 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 2795, 6804 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 2795, 6804 is 1.
HCF(2795, 6804) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2795, 6804 is 1.
Step 1: Since 6804 > 2795, we apply the division lemma to 6804 and 2795, to get
6804 = 2795 x 2 + 1214
Step 2: Since the reminder 2795 ≠ 0, we apply division lemma to 1214 and 2795, to get
2795 = 1214 x 2 + 367
Step 3: We consider the new divisor 1214 and the new remainder 367, and apply the division lemma to get
1214 = 367 x 3 + 113
We consider the new divisor 367 and the new remainder 113,and apply the division lemma to get
367 = 113 x 3 + 28
We consider the new divisor 113 and the new remainder 28,and apply the division lemma to get
113 = 28 x 4 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2795 and 6804 is 1
Notice that 1 = HCF(28,1) = HCF(113,28) = HCF(367,113) = HCF(1214,367) = HCF(2795,1214) = HCF(6804,2795) .
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 2795, 6804?
Answer: HCF of 2795, 6804 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2795, 6804 using Euclid's Algorithm?
Answer: For arbitrary numbers 2795, 6804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.