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 5143, 4087 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5143, 4087 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 5143, 4087 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 5143, 4087 is 1.
HCF(5143, 4087) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5143, 4087 is 1.
Step 1: Since 5143 > 4087, we apply the division lemma to 5143 and 4087, to get
5143 = 4087 x 1 + 1056
Step 2: Since the reminder 4087 ≠ 0, we apply division lemma to 1056 and 4087, to get
4087 = 1056 x 3 + 919
Step 3: We consider the new divisor 1056 and the new remainder 919, and apply the division lemma to get
1056 = 919 x 1 + 137
We consider the new divisor 919 and the new remainder 137,and apply the division lemma to get
919 = 137 x 6 + 97
We consider the new divisor 137 and the new remainder 97,and apply the division lemma to get
137 = 97 x 1 + 40
We consider the new divisor 97 and the new remainder 40,and apply the division lemma to get
97 = 40 x 2 + 17
We consider the new divisor 40 and the new remainder 17,and apply the division lemma to get
40 = 17 x 2 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5143 and 4087 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(40,17) = HCF(97,40) = HCF(137,97) = HCF(919,137) = HCF(1056,919) = HCF(4087,1056) = HCF(5143,4087) .
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 5143, 4087?
Answer: HCF of 5143, 4087 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5143, 4087 using Euclid's Algorithm?
Answer: For arbitrary numbers 5143, 4087 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.