Highest Common Factor of 2449, 9114 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 2449, 9114 i.e. 31 the largest integer that leaves a remainder zero for all numbers.
HCF of 2449, 9114 is 31 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 2449, 9114 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 2449, 9114 is 31.
HCF(2449, 9114) = 31
HCF of 2449, 9114 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2449, 9114 is 31.
Highest Common Factor of 2449,9114 is 31
Step 1: Since 9114 > 2449, we apply the division lemma to 9114 and 2449, to get
9114 = 2449 x 3 + 1767
Step 2: Since the reminder 2449 ≠ 0, we apply division lemma to 1767 and 2449, to get
2449 = 1767 x 1 + 682
Step 3: We consider the new divisor 1767 and the new remainder 682, and apply the division lemma to get
1767 = 682 x 2 + 403
We consider the new divisor 682 and the new remainder 403,and apply the division lemma to get
682 = 403 x 1 + 279
We consider the new divisor 403 and the new remainder 279,and apply the division lemma to get
403 = 279 x 1 + 124
We consider the new divisor 279 and the new remainder 124,and apply the division lemma to get
279 = 124 x 2 + 31
We consider the new divisor 124 and the new remainder 31,and apply the division lemma to get
124 = 31 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 2449 and 9114 is 31
Notice that 31 = HCF(124,31) = HCF(279,124) = HCF(403,279) = HCF(682,403) = HCF(1767,682) = HCF(2449,1767) = HCF(9114,2449) .
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Frequently Asked Questions on HCF of 2449, 9114 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 2449, 9114?
Answer: HCF of 2449, 9114 is 31 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2449, 9114 using Euclid's Algorithm?
Answer: For arbitrary numbers 2449, 9114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.