Highest Common Factor of 3485, 2541 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 3485, 2541 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3485, 2541 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 3485, 2541 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 3485, 2541 is 1.
HCF(3485, 2541) = 1
HCF of 3485, 2541 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3485, 2541 is 1.
Highest Common Factor of 3485,2541 is 1
Step 1: Since 3485 > 2541, we apply the division lemma to 3485 and 2541, to get
3485 = 2541 x 1 + 944
Step 2: Since the reminder 2541 ≠ 0, we apply division lemma to 944 and 2541, to get
2541 = 944 x 2 + 653
Step 3: We consider the new divisor 944 and the new remainder 653, and apply the division lemma to get
944 = 653 x 1 + 291
We consider the new divisor 653 and the new remainder 291,and apply the division lemma to get
653 = 291 x 2 + 71
We consider the new divisor 291 and the new remainder 71,and apply the division lemma to get
291 = 71 x 4 + 7
We consider the new divisor 71 and the new remainder 7,and apply the division lemma to get
71 = 7 x 10 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3485 and 2541 is 1
Notice that 1 = HCF(7,1) = HCF(71,7) = HCF(291,71) = HCF(653,291) = HCF(944,653) = HCF(2541,944) = HCF(3485,2541) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3485, 2541 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 3485, 2541?
Answer: HCF of 3485, 2541 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3485, 2541 using Euclid's Algorithm?
Answer: For arbitrary numbers 3485, 2541 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.