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 5149, 7943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5149, 7943 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 5149, 7943 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 5149, 7943 is 1.
HCF(5149, 7943) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5149, 7943 is 1.
Step 1: Since 7943 > 5149, we apply the division lemma to 7943 and 5149, to get
7943 = 5149 x 1 + 2794
Step 2: Since the reminder 5149 ≠ 0, we apply division lemma to 2794 and 5149, to get
5149 = 2794 x 1 + 2355
Step 3: We consider the new divisor 2794 and the new remainder 2355, and apply the division lemma to get
2794 = 2355 x 1 + 439
We consider the new divisor 2355 and the new remainder 439,and apply the division lemma to get
2355 = 439 x 5 + 160
We consider the new divisor 439 and the new remainder 160,and apply the division lemma to get
439 = 160 x 2 + 119
We consider the new divisor 160 and the new remainder 119,and apply the division lemma to get
160 = 119 x 1 + 41
We consider the new divisor 119 and the new remainder 41,and apply the division lemma to get
119 = 41 x 2 + 37
We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get
41 = 37 x 1 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5149 and 7943 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(119,41) = HCF(160,119) = HCF(439,160) = HCF(2355,439) = HCF(2794,2355) = HCF(5149,2794) = HCF(7943,5149) .
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 5149, 7943?
Answer: HCF of 5149, 7943 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5149, 7943 using Euclid's Algorithm?
Answer: For arbitrary numbers 5149, 7943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.