Highest Common Factor of 5976, 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 5976, 2253 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5976, 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 5976, 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 5976, 2253 is 3.
HCF(5976, 2253) = 3
HCF of 5976, 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 5976, 2253 is 3.
Highest Common Factor of 5976,2253 is 3
Step 1: Since 5976 > 2253, we apply the division lemma to 5976 and 2253, to get
5976 = 2253 x 2 + 1470
Step 2: Since the reminder 2253 ≠ 0, we apply division lemma to 1470 and 2253, to get
2253 = 1470 x 1 + 783
Step 3: We consider the new divisor 1470 and the new remainder 783, and apply the division lemma to get
1470 = 783 x 1 + 687
We consider the new divisor 783 and the new remainder 687,and apply the division lemma to get
783 = 687 x 1 + 96
We consider the new divisor 687 and the new remainder 96,and apply the division lemma to get
687 = 96 x 7 + 15
We consider the new divisor 96 and the new remainder 15,and apply the division lemma to get
96 = 15 x 6 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5976 and 2253 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(96,15) = HCF(687,96) = HCF(783,687) = HCF(1470,783) = HCF(2253,1470) = HCF(5976,2253) .
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Frequently Asked Questions on HCF of 5976, 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 5976, 2253?
Answer: HCF of 5976, 2253 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5976, 2253 using Euclid's Algorithm?
Answer: For arbitrary numbers 5976, 2253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.