Highest Common Factor of 5020, 3064 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 5020, 3064 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5020, 3064 is 4 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 5020, 3064 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 5020, 3064 is 4.
HCF(5020, 3064) = 4
HCF of 5020, 3064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5020, 3064 is 4.
Highest Common Factor of 5020,3064 is 4
Step 1: Since 5020 > 3064, we apply the division lemma to 5020 and 3064, to get
5020 = 3064 x 1 + 1956
Step 2: Since the reminder 3064 ≠ 0, we apply division lemma to 1956 and 3064, to get
3064 = 1956 x 1 + 1108
Step 3: We consider the new divisor 1956 and the new remainder 1108, and apply the division lemma to get
1956 = 1108 x 1 + 848
We consider the new divisor 1108 and the new remainder 848,and apply the division lemma to get
1108 = 848 x 1 + 260
We consider the new divisor 848 and the new remainder 260,and apply the division lemma to get
848 = 260 x 3 + 68
We consider the new divisor 260 and the new remainder 68,and apply the division lemma to get
260 = 68 x 3 + 56
We consider the new divisor 68 and the new remainder 56,and apply the division lemma to get
68 = 56 x 1 + 12
We consider the new divisor 56 and the new remainder 12,and apply the division lemma to get
56 = 12 x 4 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5020 and 3064 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(56,12) = HCF(68,56) = HCF(260,68) = HCF(848,260) = HCF(1108,848) = HCF(1956,1108) = HCF(3064,1956) = HCF(5020,3064) .
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Frequently Asked Questions on HCF of 5020, 3064 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 5020, 3064?
Answer: HCF of 5020, 3064 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5020, 3064 using Euclid's Algorithm?
Answer: For arbitrary numbers 5020, 3064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.