Highest Common Factor of 5928, 2415 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 5928, 2415 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5928, 2415 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 5928, 2415 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 5928, 2415 is 3.
HCF(5928, 2415) = 3
HCF of 5928, 2415 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5928, 2415 is 3.
Highest Common Factor of 5928,2415 is 3
Step 1: Since 5928 > 2415, we apply the division lemma to 5928 and 2415, to get
5928 = 2415 x 2 + 1098
Step 2: Since the reminder 2415 ≠ 0, we apply division lemma to 1098 and 2415, to get
2415 = 1098 x 2 + 219
Step 3: We consider the new divisor 1098 and the new remainder 219, and apply the division lemma to get
1098 = 219 x 5 + 3
We consider the new divisor 219 and the new remainder 3, and apply the division lemma to get
219 = 3 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5928 and 2415 is 3
Notice that 3 = HCF(219,3) = HCF(1098,219) = HCF(2415,1098) = HCF(5928,2415) .
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Frequently Asked Questions on HCF of 5928, 2415 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 5928, 2415?
Answer: HCF of 5928, 2415 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5928, 2415 using Euclid's Algorithm?
Answer: For arbitrary numbers 5928, 2415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.