Highest Common Factor of 1549, 7317 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 1549, 7317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1549, 7317 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 1549, 7317 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 1549, 7317 is 1.
HCF(1549, 7317) = 1
HCF of 1549, 7317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1549, 7317 is 1.
Highest Common Factor of 1549,7317 is 1
Step 1: Since 7317 > 1549, we apply the division lemma to 7317 and 1549, to get
7317 = 1549 x 4 + 1121
Step 2: Since the reminder 1549 ≠ 0, we apply division lemma to 1121 and 1549, to get
1549 = 1121 x 1 + 428
Step 3: We consider the new divisor 1121 and the new remainder 428, and apply the division lemma to get
1121 = 428 x 2 + 265
We consider the new divisor 428 and the new remainder 265,and apply the division lemma to get
428 = 265 x 1 + 163
We consider the new divisor 265 and the new remainder 163,and apply the division lemma to get
265 = 163 x 1 + 102
We consider the new divisor 163 and the new remainder 102,and apply the division lemma to get
163 = 102 x 1 + 61
We consider the new divisor 102 and the new remainder 61,and apply the division lemma to get
102 = 61 x 1 + 41
We consider the new divisor 61 and the new remainder 41,and apply the division lemma to get
61 = 41 x 1 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1549 and 7317 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(61,41) = HCF(102,61) = HCF(163,102) = HCF(265,163) = HCF(428,265) = HCF(1121,428) = HCF(1549,1121) = HCF(7317,1549) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1549, 7317 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 1549, 7317?
Answer: HCF of 1549, 7317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1549, 7317 using Euclid's Algorithm?
Answer: For arbitrary numbers 1549, 7317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.