Highest Common Factor of 2916, 7455 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 2916, 7455 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2916, 7455 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 2916, 7455 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 2916, 7455 is 3.
HCF(2916, 7455) = 3
HCF of 2916, 7455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2916, 7455 is 3.
Highest Common Factor of 2916,7455 is 3
Step 1: Since 7455 > 2916, we apply the division lemma to 7455 and 2916, to get
7455 = 2916 x 2 + 1623
Step 2: Since the reminder 2916 ≠ 0, we apply division lemma to 1623 and 2916, to get
2916 = 1623 x 1 + 1293
Step 3: We consider the new divisor 1623 and the new remainder 1293, and apply the division lemma to get
1623 = 1293 x 1 + 330
We consider the new divisor 1293 and the new remainder 330,and apply the division lemma to get
1293 = 330 x 3 + 303
We consider the new divisor 330 and the new remainder 303,and apply the division lemma to get
330 = 303 x 1 + 27
We consider the new divisor 303 and the new remainder 27,and apply the division lemma to get
303 = 27 x 11 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 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 2916 and 7455 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(303,27) = HCF(330,303) = HCF(1293,330) = HCF(1623,1293) = HCF(2916,1623) = HCF(7455,2916) .
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Frequently Asked Questions on HCF of 2916, 7455 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 2916, 7455?
Answer: HCF of 2916, 7455 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2916, 7455 using Euclid's Algorithm?
Answer: For arbitrary numbers 2916, 7455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.