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 1317, 2270 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1317, 2270 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 1317, 2270 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 1317, 2270 is 1.
HCF(1317, 2270) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1317, 2270 is 1.
Step 1: Since 2270 > 1317, we apply the division lemma to 2270 and 1317, to get
2270 = 1317 x 1 + 953
Step 2: Since the reminder 1317 ≠ 0, we apply division lemma to 953 and 1317, to get
1317 = 953 x 1 + 364
Step 3: We consider the new divisor 953 and the new remainder 364, and apply the division lemma to get
953 = 364 x 2 + 225
We consider the new divisor 364 and the new remainder 225,and apply the division lemma to get
364 = 225 x 1 + 139
We consider the new divisor 225 and the new remainder 139,and apply the division lemma to get
225 = 139 x 1 + 86
We consider the new divisor 139 and the new remainder 86,and apply the division lemma to get
139 = 86 x 1 + 53
We consider the new divisor 86 and the new remainder 53,and apply the division lemma to get
86 = 53 x 1 + 33
We consider the new divisor 53 and the new remainder 33,and apply the division lemma to get
53 = 33 x 1 + 20
We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get
33 = 20 x 1 + 13
We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get
20 = 13 x 1 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1317 and 2270 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(53,33) = HCF(86,53) = HCF(139,86) = HCF(225,139) = HCF(364,225) = HCF(953,364) = HCF(1317,953) = HCF(2270,1317) .
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 1317, 2270?
Answer: HCF of 1317, 2270 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1317, 2270 using Euclid's Algorithm?
Answer: For arbitrary numbers 1317, 2270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.