Highest Common Factor of 274, 2545 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 274, 2545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 274, 2545 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 274, 2545 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 274, 2545 is 1.
HCF(274, 2545) = 1
HCF of 274, 2545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 274, 2545 is 1.
Highest Common Factor of 274,2545 is 1
Step 1: Since 2545 > 274, we apply the division lemma to 2545 and 274, to get
2545 = 274 x 9 + 79
Step 2: Since the reminder 274 ≠ 0, we apply division lemma to 79 and 274, to get
274 = 79 x 3 + 37
Step 3: We consider the new divisor 79 and the new remainder 37, and apply the division lemma to get
79 = 37 x 2 + 5
We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get
37 = 5 x 7 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 274 and 2545 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(79,37) = HCF(274,79) = HCF(2545,274) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 274, 2545 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 274, 2545?
Answer: HCF of 274, 2545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 274, 2545 using Euclid's Algorithm?
Answer: For arbitrary numbers 274, 2545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.