Highest Common Factor of 1449, 5241 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 1449, 5241 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1449, 5241 is 3 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 1449, 5241 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 1449, 5241 is 3.
HCF(1449, 5241) = 3
HCF of 1449, 5241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1449, 5241 is 3.
Highest Common Factor of 1449,5241 is 3
Step 1: Since 5241 > 1449, we apply the division lemma to 5241 and 1449, to get
5241 = 1449 x 3 + 894
Step 2: Since the reminder 1449 ≠ 0, we apply division lemma to 894 and 1449, to get
1449 = 894 x 1 + 555
Step 3: We consider the new divisor 894 and the new remainder 555, and apply the division lemma to get
894 = 555 x 1 + 339
We consider the new divisor 555 and the new remainder 339,and apply the division lemma to get
555 = 339 x 1 + 216
We consider the new divisor 339 and the new remainder 216,and apply the division lemma to get
339 = 216 x 1 + 123
We consider the new divisor 216 and the new remainder 123,and apply the division lemma to get
216 = 123 x 1 + 93
We consider the new divisor 123 and the new remainder 93,and apply the division lemma to get
123 = 93 x 1 + 30
We consider the new divisor 93 and the new remainder 30,and apply the division lemma to get
93 = 30 x 3 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1449 and 5241 is 3
Notice that 3 = HCF(30,3) = HCF(93,30) = HCF(123,93) = HCF(216,123) = HCF(339,216) = HCF(555,339) = HCF(894,555) = HCF(1449,894) = HCF(5241,1449) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1449, 5241 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 1449, 5241?
Answer: HCF of 1449, 5241 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1449, 5241 using Euclid's Algorithm?
Answer: For arbitrary numbers 1449, 5241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.