Highest Common Factor of 5127, 3048 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 5127, 3048 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5127, 3048 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 5127, 3048 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 5127, 3048 is 3.
HCF(5127, 3048) = 3
HCF of 5127, 3048 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5127, 3048 is 3.
Highest Common Factor of 5127,3048 is 3
Step 1: Since 5127 > 3048, we apply the division lemma to 5127 and 3048, to get
5127 = 3048 x 1 + 2079
Step 2: Since the reminder 3048 ≠ 0, we apply division lemma to 2079 and 3048, to get
3048 = 2079 x 1 + 969
Step 3: We consider the new divisor 2079 and the new remainder 969, and apply the division lemma to get
2079 = 969 x 2 + 141
We consider the new divisor 969 and the new remainder 141,and apply the division lemma to get
969 = 141 x 6 + 123
We consider the new divisor 141 and the new remainder 123,and apply the division lemma to get
141 = 123 x 1 + 18
We consider the new divisor 123 and the new remainder 18,and apply the division lemma to get
123 = 18 x 6 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5127 and 3048 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(123,18) = HCF(141,123) = HCF(969,141) = HCF(2079,969) = HCF(3048,2079) = HCF(5127,3048) .
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Frequently Asked Questions on HCF of 5127, 3048 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 5127, 3048?
Answer: HCF of 5127, 3048 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5127, 3048 using Euclid's Algorithm?
Answer: For arbitrary numbers 5127, 3048 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.