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 2884, 6775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2884, 6775 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 2884, 6775 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 2884, 6775 is 1.
HCF(2884, 6775) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2884, 6775 is 1.
Step 1: Since 6775 > 2884, we apply the division lemma to 6775 and 2884, to get
6775 = 2884 x 2 + 1007
Step 2: Since the reminder 2884 ≠ 0, we apply division lemma to 1007 and 2884, to get
2884 = 1007 x 2 + 870
Step 3: We consider the new divisor 1007 and the new remainder 870, and apply the division lemma to get
1007 = 870 x 1 + 137
We consider the new divisor 870 and the new remainder 137,and apply the division lemma to get
870 = 137 x 6 + 48
We consider the new divisor 137 and the new remainder 48,and apply the division lemma to get
137 = 48 x 2 + 41
We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get
48 = 41 x 1 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2884 and 6775 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(137,48) = HCF(870,137) = HCF(1007,870) = HCF(2884,1007) = HCF(6775,2884) .
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 2884, 6775?
Answer: HCF of 2884, 6775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2884, 6775 using Euclid's Algorithm?
Answer: For arbitrary numbers 2884, 6775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.