Highest Common Factor of 5925, 2253 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 5925, 2253 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5925, 2253 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 5925, 2253 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 5925, 2253 is 3.
HCF(5925, 2253) = 3
HCF of 5925, 2253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5925, 2253 is 3.
Highest Common Factor of 5925,2253 is 3
Step 1: Since 5925 > 2253, we apply the division lemma to 5925 and 2253, to get
5925 = 2253 x 2 + 1419
Step 2: Since the reminder 2253 ≠ 0, we apply division lemma to 1419 and 2253, to get
2253 = 1419 x 1 + 834
Step 3: We consider the new divisor 1419 and the new remainder 834, and apply the division lemma to get
1419 = 834 x 1 + 585
We consider the new divisor 834 and the new remainder 585,and apply the division lemma to get
834 = 585 x 1 + 249
We consider the new divisor 585 and the new remainder 249,and apply the division lemma to get
585 = 249 x 2 + 87
We consider the new divisor 249 and the new remainder 87,and apply the division lemma to get
249 = 87 x 2 + 75
We consider the new divisor 87 and the new remainder 75,and apply the division lemma to get
87 = 75 x 1 + 12
We consider the new divisor 75 and the new remainder 12,and apply the division lemma to get
75 = 12 x 6 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5925 and 2253 is 3
Notice that 3 = HCF(12,3) = HCF(75,12) = HCF(87,75) = HCF(249,87) = HCF(585,249) = HCF(834,585) = HCF(1419,834) = HCF(2253,1419) = HCF(5925,2253) .
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Frequently Asked Questions on HCF of 5925, 2253 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 5925, 2253?
Answer: HCF of 5925, 2253 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5925, 2253 using Euclid's Algorithm?
Answer: For arbitrary numbers 5925, 2253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.