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 6895, 2775 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6895, 2775 is 5 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 6895, 2775 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 6895, 2775 is 5.
HCF(6895, 2775) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6895, 2775 is 5.
Step 1: Since 6895 > 2775, we apply the division lemma to 6895 and 2775, to get
6895 = 2775 x 2 + 1345
Step 2: Since the reminder 2775 ≠ 0, we apply division lemma to 1345 and 2775, to get
2775 = 1345 x 2 + 85
Step 3: We consider the new divisor 1345 and the new remainder 85, and apply the division lemma to get
1345 = 85 x 15 + 70
We consider the new divisor 85 and the new remainder 70,and apply the division lemma to get
85 = 70 x 1 + 15
We consider the new divisor 70 and the new remainder 15,and apply the division lemma to get
70 = 15 x 4 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6895 and 2775 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(70,15) = HCF(85,70) = HCF(1345,85) = HCF(2775,1345) = HCF(6895,2775) .
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 6895, 2775?
Answer: HCF of 6895, 2775 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6895, 2775 using Euclid's Algorithm?
Answer: For arbitrary numbers 6895, 2775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.