Highest Common Factor of 3078, 5180 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 3078, 5180 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3078, 5180 is 2 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 3078, 5180 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 3078, 5180 is 2.
HCF(3078, 5180) = 2
HCF of 3078, 5180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3078, 5180 is 2.
Highest Common Factor of 3078,5180 is 2
Step 1: Since 5180 > 3078, we apply the division lemma to 5180 and 3078, to get
5180 = 3078 x 1 + 2102
Step 2: Since the reminder 3078 ≠ 0, we apply division lemma to 2102 and 3078, to get
3078 = 2102 x 1 + 976
Step 3: We consider the new divisor 2102 and the new remainder 976, and apply the division lemma to get
2102 = 976 x 2 + 150
We consider the new divisor 976 and the new remainder 150,and apply the division lemma to get
976 = 150 x 6 + 76
We consider the new divisor 150 and the new remainder 76,and apply the division lemma to get
150 = 76 x 1 + 74
We consider the new divisor 76 and the new remainder 74,and apply the division lemma to get
76 = 74 x 1 + 2
We consider the new divisor 74 and the new remainder 2,and apply the division lemma to get
74 = 2 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3078 and 5180 is 2
Notice that 2 = HCF(74,2) = HCF(76,74) = HCF(150,76) = HCF(976,150) = HCF(2102,976) = HCF(3078,2102) = HCF(5180,3078) .
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Frequently Asked Questions on HCF of 3078, 5180 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 3078, 5180?
Answer: HCF of 3078, 5180 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3078, 5180 using Euclid's Algorithm?
Answer: For arbitrary numbers 3078, 5180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
