Highest Common Factor of 3640, 1257 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 3640, 1257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3640, 1257 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 3640, 1257 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 3640, 1257 is 1.
HCF(3640, 1257) = 1
HCF of 3640, 1257 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3640, 1257 is 1.
Highest Common Factor of 3640,1257 is 1
Step 1: Since 3640 > 1257, we apply the division lemma to 3640 and 1257, to get
3640 = 1257 x 2 + 1126
Step 2: Since the reminder 1257 ≠ 0, we apply division lemma to 1126 and 1257, to get
1257 = 1126 x 1 + 131
Step 3: We consider the new divisor 1126 and the new remainder 131, and apply the division lemma to get
1126 = 131 x 8 + 78
We consider the new divisor 131 and the new remainder 78,and apply the division lemma to get
131 = 78 x 1 + 53
We consider the new divisor 78 and the new remainder 53,and apply the division lemma to get
78 = 53 x 1 + 25
We consider the new divisor 53 and the new remainder 25,and apply the division lemma to get
53 = 25 x 2 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3640 and 1257 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(53,25) = HCF(78,53) = HCF(131,78) = HCF(1126,131) = HCF(1257,1126) = HCF(3640,1257) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3640, 1257 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 3640, 1257?
Answer: HCF of 3640, 1257 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3640, 1257 using Euclid's Algorithm?
Answer: For arbitrary numbers 3640, 1257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.