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 1270, 5909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1270, 5909 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 1270, 5909 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 1270, 5909 is 1.
HCF(1270, 5909) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1270, 5909 is 1.
Step 1: Since 5909 > 1270, we apply the division lemma to 5909 and 1270, to get
5909 = 1270 x 4 + 829
Step 2: Since the reminder 1270 ≠ 0, we apply division lemma to 829 and 1270, to get
1270 = 829 x 1 + 441
Step 3: We consider the new divisor 829 and the new remainder 441, and apply the division lemma to get
829 = 441 x 1 + 388
We consider the new divisor 441 and the new remainder 388,and apply the division lemma to get
441 = 388 x 1 + 53
We consider the new divisor 388 and the new remainder 53,and apply the division lemma to get
388 = 53 x 7 + 17
We consider the new divisor 53 and the new remainder 17,and apply the division lemma to get
53 = 17 x 3 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 1270 and 5909 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(53,17) = HCF(388,53) = HCF(441,388) = HCF(829,441) = HCF(1270,829) = HCF(5909,1270) .
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 1270, 5909?
Answer: HCF of 1270, 5909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1270, 5909 using Euclid's Algorithm?
Answer: For arbitrary numbers 1270, 5909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.