Highest Common Factor of 2883, 3956 using Euclid's algorithm
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 2883, 3956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2883, 3956 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 2883, 3956 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 2883, 3956 is 1.
HCF(2883, 3956) = 1
HCF of 2883, 3956 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2883, 3956 is 1.
Highest Common Factor of 2883,3956 is 1
Step 1: Since 3956 > 2883, we apply the division lemma to 3956 and 2883, to get
3956 = 2883 x 1 + 1073
Step 2: Since the reminder 2883 ≠ 0, we apply division lemma to 1073 and 2883, to get
2883 = 1073 x 2 + 737
Step 3: We consider the new divisor 1073 and the new remainder 737, and apply the division lemma to get
1073 = 737 x 1 + 336
We consider the new divisor 737 and the new remainder 336,and apply the division lemma to get
737 = 336 x 2 + 65
We consider the new divisor 336 and the new remainder 65,and apply the division lemma to get
336 = 65 x 5 + 11
We consider the new divisor 65 and the new remainder 11,and apply the division lemma to get
65 = 11 x 5 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2883 and 3956 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(65,11) = HCF(336,65) = HCF(737,336) = HCF(1073,737) = HCF(2883,1073) = HCF(3956,2883) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2883, 3956 using Euclid's Algorithm
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 2883, 3956?
Answer: HCF of 2883, 3956 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2883, 3956 using Euclid's Algorithm?
Answer: For arbitrary numbers 2883, 3956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.