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 7883, 1808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7883, 1808 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 7883, 1808 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 7883, 1808 is 1.
HCF(7883, 1808) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7883, 1808 is 1.
Step 1: Since 7883 > 1808, we apply the division lemma to 7883 and 1808, to get
7883 = 1808 x 4 + 651
Step 2: Since the reminder 1808 ≠ 0, we apply division lemma to 651 and 1808, to get
1808 = 651 x 2 + 506
Step 3: We consider the new divisor 651 and the new remainder 506, and apply the division lemma to get
651 = 506 x 1 + 145
We consider the new divisor 506 and the new remainder 145,and apply the division lemma to get
506 = 145 x 3 + 71
We consider the new divisor 145 and the new remainder 71,and apply the division lemma to get
145 = 71 x 2 + 3
We consider the new divisor 71 and the new remainder 3,and apply the division lemma to get
71 = 3 x 23 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7883 and 1808 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(71,3) = HCF(145,71) = HCF(506,145) = HCF(651,506) = HCF(1808,651) = HCF(7883,1808) .
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 7883, 1808?
Answer: HCF of 7883, 1808 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7883, 1808 using Euclid's Algorithm?
Answer: For arbitrary numbers 7883, 1808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.