Highest Common Factor of 2883, 3197, 39546 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, 3197, 39546 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2883, 3197, 39546 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, 3197, 39546 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, 3197, 39546 is 1.
HCF(2883, 3197, 39546) = 1
HCF of 2883, 3197, 39546 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, 3197, 39546 is 1.
Highest Common Factor of 2883,3197,39546 is 1
Step 1: Since 3197 > 2883, we apply the division lemma to 3197 and 2883, to get
3197 = 2883 x 1 + 314
Step 2: Since the reminder 2883 ≠ 0, we apply division lemma to 314 and 2883, to get
2883 = 314 x 9 + 57
Step 3: We consider the new divisor 314 and the new remainder 57, and apply the division lemma to get
314 = 57 x 5 + 29
We consider the new divisor 57 and the new remainder 29,and apply the division lemma to get
57 = 29 x 1 + 28
We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get
29 = 28 x 1 + 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 2883 and 3197 is 1
Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(57,29) = HCF(314,57) = HCF(2883,314) = HCF(3197,2883) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39546 > 1, we apply the division lemma to 39546 and 1, to get
39546 = 1 x 39546 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39546 is 1
Notice that 1 = HCF(39546,1) .
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, 3197, 39546 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, 3197, 39546?
Answer: HCF of 2883, 3197, 39546 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2883, 3197, 39546 using Euclid's Algorithm?
Answer: For arbitrary numbers 2883, 3197, 39546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.