Highest Common Factor of 5041, 3360 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 5041, 3360 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5041, 3360 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 5041, 3360 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 5041, 3360 is 1.
HCF(5041, 3360) = 1
HCF of 5041, 3360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5041, 3360 is 1.
Highest Common Factor of 5041,3360 is 1
Step 1: Since 5041 > 3360, we apply the division lemma to 5041 and 3360, to get
5041 = 3360 x 1 + 1681
Step 2: Since the reminder 3360 ≠ 0, we apply division lemma to 1681 and 3360, to get
3360 = 1681 x 1 + 1679
Step 3: We consider the new divisor 1681 and the new remainder 1679, and apply the division lemma to get
1681 = 1679 x 1 + 2
We consider the new divisor 1679 and the new remainder 2,and apply the division lemma to get
1679 = 2 x 839 + 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 5041 and 3360 is 1
Notice that 1 = HCF(2,1) = HCF(1679,2) = HCF(1681,1679) = HCF(3360,1681) = HCF(5041,3360) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5041, 3360 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 5041, 3360?
Answer: HCF of 5041, 3360 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5041, 3360 using Euclid's Algorithm?
Answer: For arbitrary numbers 5041, 3360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
