Highest Common Factor of 5915, 6027 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 5915, 6027 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5915, 6027 is 7 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 5915, 6027 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 5915, 6027 is 7.
HCF(5915, 6027) = 7
HCF of 5915, 6027 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5915, 6027 is 7.
Highest Common Factor of 5915,6027 is 7
Step 1: Since 6027 > 5915, we apply the division lemma to 6027 and 5915, to get
6027 = 5915 x 1 + 112
Step 2: Since the reminder 5915 ≠ 0, we apply division lemma to 112 and 5915, to get
5915 = 112 x 52 + 91
Step 3: We consider the new divisor 112 and the new remainder 91, and apply the division lemma to get
112 = 91 x 1 + 21
We consider the new divisor 91 and the new remainder 21,and apply the division lemma to get
91 = 21 x 4 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5915 and 6027 is 7
Notice that 7 = HCF(21,7) = HCF(91,21) = HCF(112,91) = HCF(5915,112) = HCF(6027,5915) .
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Frequently Asked Questions on HCF of 5915, 6027 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 5915, 6027?
Answer: HCF of 5915, 6027 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5915, 6027 using Euclid's Algorithm?
Answer: For arbitrary numbers 5915, 6027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.